Masuoka Akira 増岡彰

… Alternative Names

MASUOKA Akira 増岡彰

増岡彰マスオカアキラ

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Researcher Number	50229366
Other IDs
Affiliation (Current)	2025: 筑波大学, 数理物質系, 教授
Affiliation (based on the past Project Information) *help	2018 – 2023: 筑波大学, 数理物質系, 教授 2011 – 2017: 筑波大学, 数理物質系, 准教授 2007 – 2010: University of Tsukuba, Graduate School of Humanities and Social Sciences, Associate Professor 2004 – 2006: 筑波大学, 大学院・数理物質科学研究科, 助教授 2005: Tsukuba University, Graduate School of Pure and Applied Sicences, Associate Professor, 数理物質科学研究科, 助教授 … More 2005: 茨城大学, 数理物質科学研究科, 助教授 1998 – 2004: 筑波大学, 数学系, 助教授 1994: 島根大学, 理学部, 講師 1992: 日本工業大学, 工学部, 講師 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Global analysis / Algebra / 解析学
Keywords	Principal Investigator ホップ代数 / ピカール・ヴェシオ理論 / スーパー・ホップ代数 / スーパー代数群 / 量子群 / コサイクル変形 / Hopf algebra / Picard-Vessiot theory / ホップ・ガロア拡大 / スーパー群スキーム … More / ホップ・ガロア理論 / スーパー対称性 / スーパー・スキーム / スーパー幾何学 / スーパー・リー群 / 微分ガロア理論 / 淡中双対性 / テンソル圏 / ホップガロア理論 / ガロア対象 / ピカール・ヴェッシオ理論 / スーパー・ピカール-ヴェシオ理論 / スーパー主束 / スーパー・トーサー / トーサー / デサント / スーパースキーム / ハリシュ・チャンドラ対 / スーパー解析多様体 / スーパー・リー代数 / cocbcle deformation / affine group scheme / braided category / tensor category / quantum group / 差分方程式 / 微分方程式 / テンソルカテゴリー / 組ひもカテゴリー / 形式群 / アフィン群 / アフィン群スキーム / 組紐圏 / differential-difference Galois theory / Hopf-Galois theory / brided Hopf algebra / Super formal group / Super affine group / 差分ガロア理論 / 組紐ホップ代数 / 微分・差分ガロア理論 / ポップガロア理論 / 組紐ポップ代数 / スーパー形式群 / スーパーアフィン群 / Picard-Vessiot理論 / Tanaka duality / II_1 subfactor / group cohomology / super-affine group / super-Hopf algebra / 群のコホモロジー / 部分因子環 / ホモロジー代数 / 淡中双対定理 / II_1型部分因子環 / 群コホモロジー / スーパー・アフィン群スキーム / Hochschild cohomology / Hopf cohomology / Crossed product / Cocfuasi-bialgebra / Tensor equivalence / Quantum group / 組紐構造 / ホッホシルトコホモロジー / ホップコホモロジー / 接合積 / 余準双代数 / テンソル同値 / スーパー・ハイパー代数 / ピカール-ヴェシオ理論 / 微・差分ガロア理論 / ハリシュ-チャンドラ対 / Harish-Chandraペア / 超代数 / スーパー・アフィン群 / ピカール・ウェシオ理論 / 量子ダブル / ホップガロア拡大 / 群スキーム / 量子包絡環 / モノイダル圈 / リー双代数 / monoidal category / Galois object / cocycle deformation / extension / Lie bialgebra / 指標環 / 半単純ホップ代数 … More Except Principal Investigator ホップ代数 / 量子群 / Frobenius algebra / braided category / 環論 / 組紐カテゴリー / characteristic of field / global dimension / tiled order / matrix ring / 入射次元 / ホモロジー次元 / 半順序集合の表現 / 体の標数 / 大局次元 / タイル整環 / Frobenius多元環 / 行列環 / fiber functor / tensor category / 量子亜群 / Temperley-Lieb圏 / ファイバー関手 / フロベニウス代数 / テンソル圏 / cylinder matrix / biFrobenius algebra / modular category / braid / Hopf algebra / quantum group / quantum matrix / ガウス分解 / 量子ガロア群 / cylinder代数 / 準結晶 / コサイクル変形 / braidedホップ代数 / 頂点作用素代数 / Kac-Moody群 / Kaplansky予想 / matched pair / ヘッケ代数 / コホモロジー / ボゾン化 / Homfly多項式 / cylinder行列 / 双フロベニウス代数 / モジュラー圏 / 結び目 / 量子行列 / 圏同値 / 表現論 / トポロジー / 代数学 / 結晶基 / 余加群代数 / 森田理論 / bialgebroid / bialgebroid, Picard-Vessiot理論 / FRT構成 / ガロア理論 / Faithful flat / coideal subalgebras / module coalgebras / comodule algebras / Hopf algebras / bialaebras / 初期値問題 / PLK法 Less

Development of supersymmetric Picard-Vessiot TheoryPrincipal Investigator
- Principal Investigator
  
  増岡彰
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Hopf-Galois theory applied to supergeometryPrincipal Investigator
- Principal Investigator
  
  Masuoka Akira
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Super-groups and super-geometry from Hopf-algebraic view-pointPrincipal Investigator
- Principal Investigator
  
  MASUOKA AKIRA
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of super-algebraic groups using Hopf algebrasPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of super algebraic groups from functorial viewpointPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Hopf-Galois theoretic approach to quantum groupsPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
RESEARCH ON THE REPRESENTATION CATEGORIES OF HOPF ALGEBRAS BY USING THEIR BRAIDING STRUCTURES
- Principal Investigator
  
  WAKUI Michihisa
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kansai University
Hopf algebras and their applications to quantum groups
- Principal Investigator
  
  TAKEUCHI Mitsuhiro
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Unifying differential and difference Picard Vessiot theories by using HopfalgebrasPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
STUDY ON FULL MATRIX ALGEBRAS WITH STRUCTURE SYSTEMS
- Principal Investigator
  
  FUJITA Hisaaki
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Generalization of Hopf-quotient theory and applications to subfactors and othersPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Algebraic structures and analysis in tensor categories and quantum groupoids
- Principal Investigator
  
  YAMAGAMI Shigeru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ibaraki University
Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidingsPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Classification of Hopf algebras and quantum groups by tensor equivalencesPrincipal Investigator
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Research on quantum matrices and Hopf algebras
- Principal Investigator
  
  MITSUSHIRO Takeuchi
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
ホップ代数,リー双代数の拡大とコホモロジーPrincipal Investigator
- Principal Investigator
  
  増岡彰
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
有限次元ホップ代数の構造論Principal Investigator
- Principal Investigator
  
  増岡彰
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Shimane University
小さいパラメータを含む非線形方程式の初期値問題
- Principal Investigator
  
  高橋〓一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nippon Institute of Technology

[Book] ガイダンス線形代数2021
- Author(s)
  増岡彰
- Total Pages
  204
- Publisher
  サイエンス社
- ISBN
  9784781915319
- Data Source
  KAKENHI-PROJECT-20K03552
[Book] Handbook of Algebra(Classification of semisimple Hopf algebras)(M.Hazewinkel ed.) Vol.62009
- Author(s)
  K.Amano, A.Masuoka, M.Takeuchi
- Publisher
  Elsevier(分担執筆)
- Data Source
  KAKENHI-PROJECT-20540036
[Book] Handbook of Algebra(Classification of semisimple Hopf algebras)(M.Hazewinkel ed.) Vol.52008
- Author(s)
  A.Masuoka
- Publisher
  Elsevier(分担執筆)
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Group superschemes2022
- Author(s)
  Akira Masuoka, Alexandr N. Zubkov
- Journal Title
  
  Journal of Algebra
  
  Volume: 605 Pages: 89-145
- DOI
  10.1016/j.jalgebra.2022.04.027
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03552
[Journal Article] Twisted forms of differential Lie algebras over C(t) associated with complex simple Lie algebras2021
- Author(s)
  Akira Masuoka, Yuta Shimada
- Journal Title
  
  Arnold Mathematical Journal
  
  Volume: 7 Issue: 1 Pages: 107-134
- DOI
  10.1007/s40598-020-00155-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03552, KAKENHI-PROJECT-17K05189
[Journal Article] Affine algebraic super-groups with integral2021
- Author(s)
  Masuoka Akira、Shibata Taiki、Shimada Yuta
- Journal Title
  
  Communications in Algebra
  
  Volume: 50 Issue: 2 Pages: 615-634
- DOI
  10.1080/00927872.2021.1963758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14517, KAKENHI-PROJECT-20K03552
[Journal Article] Geometric construction of quotients in super-symmetry2021
- Author(s)
  Akira Masuoka, Yuta Takahashi
- Journal Title
  
  Transformation Groups
  
  Volume: 26 Issue: 1 Pages: 347-375
- DOI
  10.1007/s00031-020-09583-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03552, KAKENHI-PROJECT-17K05189
[Journal Article] Hopf-algebraic techniques applied to super Lie groups over a complete field2020
- Author(s)
  Mitsukazu Hoshi, Akira Masuoka, Yuta Takahashi
- Journal Title
  
  Journal of Algebra
  
  Volume: 562 Pages: 28-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03552
[Journal Article] Hopf-algebraic techniques applied to super Lie groups over a complete field2020
- Author(s)
  Mitsukazu Hoshi, Akira Masuoka, Yuta Takahashi
- Journal Title
  
  Journal of Algebra
  
  Volume: 562 Pages: 28-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05189
[Journal Article] On the notion of Krull super-dimension2020
- Author(s)
  Akira Masuoka, Alexadr Zubkov
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 224 Issue: 5 Pages: 106245-106274
- DOI
  10.1016/j.jpaa.2019.106245
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03552, KAKENHI-PROJECT-17K05189
[Journal Article] On functor points of affine supergroups2018
- Author(s)
  Akira Masuoka, Taiki Shibata
- Journal Title
  
  Journal of Algebra
  
  Volume: 503 Pages: 534-572
- DOI
  10.1016/j.jalgebra.2018.02.002
- NAID
  120007133902
- Data Source
  KAKENHI-PROJECT-17K05189
[Journal Article] Algebraic supergroups and Harish-Chandra pairs over a commutative ring2017
- Author(s)
  MASUOKA, Akira, SHIBATA, Taiki
- Journal Title
  
  Transactions of American Mathematical Society
  
  Volume: 369 Issue: 5 Pages: 3443-3481
- DOI
  10.1090/tran/6751
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400035, KAKENHI-PROJECT-17K05189
[Journal Article] Solvability and nilpotency for algebraic supergroups2017
- Author(s)
  Akira Masuoka, Alexandr N. Zubkov
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 221 Issue: 2 Pages: 339-365
- DOI
  10.1016/j.jpaa.2016.06.012
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05189
[Journal Article] Solvability and nilpotency for algebraic supergroups2017
- Author(s)
  MASUOKA, Akira, ZUBKOV, Alexandr N.
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 221 Pages: 339-365
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400035
[Journal Article] The Noether problem for Hopf algebras2016
- Author(s)
  KASSEL, Christian, MASUOKA, Akira
- Journal Title
  
  Journal of Noncommutative Geometry
  
  Volume: 10 Issue: 2 Pages: 405-428
- DOI
  10.4171/jncg/237
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400035
[Journal Article] Lifting via cocycle deformation2014
- Author(s)
  N. Andruskiewitsch, I. Angiono, A. Garcia Iglesias, 増岡彰, C. Vay
- Journal Title
  
  J. Pure Appl. Algebra
  
  Volume: 218 Issue: 4 Pages: 684-703
- DOI
  10.1016/j.jpaa.2013.08.008
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23540039, KAKENHI-PROJECT-26400035
[Journal Article] Handlebody-knot invariants derived from unimodular Hopf algebras2014
- Author(s)
  Atsushi Ishii, Akira Masuoka
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 23 Issue: 07 Pages: 1460001-1460024
- DOI
  10.1142/s0218216514600013
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24740037, KAKENHI-PROJECT-26400035
[Journal Article] x_R-Bialgebras associated with interative q-difference rings2013
- Author(s)
  Akira Masuoka, Makoto Yanagawa
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 24 Issue: 04 Pages: 684-703
- DOI
  10.1142/s0129167x13500304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540039
[Journal Article] x_R-Bialgebras associated with iterative q-difference rings2013
- Author(s)
  増岡彰、柳川信
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540039
[Journal Article] × R-Bialgebras associated with iterative q-difference rings2013
- Author(s)
  増岡彰, 柳川信
- Journal Title
  
  Internat. J. Math
  
  Volume: 24 Pages: 1350030-27
- NAID
  120007136930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540039
[Journal Article] Twisting algebras using non-commutative tosors : explicit computations2012
- Author(s)
  P. Guillot, C. Kassel, 増岡彰
- Journal Title
  
  Math. Zeit
  
  Volume: 271 Issue: 3-4 Pages: 789-818
- DOI
  10.1007/s00209-011-0891-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540039
[Journal Article] Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field2012
- Author(s)
  Akira Masuoka
- Journal Title
  
  Transformation Groups
  
  Volume: 17 Issue: 4 Pages: 1085-1121
- DOI
  10.1007/s00031-012-9203-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540039
[Journal Article] Quotient sheaves of algebraic supergroups are superschemes2011
- Author(s)
  増岡彰, A. Zubkov
- Journal Title
  
  J. Algebra
  
  Volume: 348 Issue: 1 Pages: 135-170
- DOI
  10.1016/j.jalgebra.2011.08.038
- NAID
  120007137376
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540039
[Journal Article] On minimal quasitriangular pointed Hopf algebras2010
- Author(s)
  Akira Masuoka
- Journal Title
  
  J.Math.Sci.Univ.Tokyo
  
  Volume: 16 Pages: 545-576
- NAID
  120006906041
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Flatness and freeness properties of the generic Hopf Galois extensions2010
- Author(s)
  C.Kassel, A.Masuoka
- Journal Title
  
  Rev Un.Mat.Argentina
  
  Volume: 51 Pages: 79-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] On minimal quasitriangular pointed Hopf algebras2010
- Author(s)
  A.Masuoka
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 16
  
  Pages: 545-576
- NAID
  120006906041
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Flatness and freeness properties of the generic Hopf Galois extensions2010
- Author(s)
  C.Kassel, A.Masuoka
- Journal Title
  
  Rev.Un.Mat.Argentina 51
  
  Pages: 79-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article]2009
- Author(s)
  天野勝利、増岡彰、竹内光弘
- Journal Title
  
  Handbook of Algebra Vol.6(分担執筆Hopf algebraic Approach to Picard-Vessiot Theoryの章)(Elsevier/North-Holland)
  
  Pages: 127-171
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Hopf algebraic approach to Picard-Vessiot theory2009
- Author(s)
  K. Amano, A. Masuoka, M. Takeuchi
- Journal Title
  
  Handbook of Algebra Vol. 6
  
  Pages: 127-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[Journal Article] Generalized q-boson algebras and their integrable modules2009
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  Journal of Algebra 322
  
  Pages: 2199-2219
- NAID
  120007131509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Semisimplicity criteria for irreducible Hopf algebras in positive characteristic2009
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  Proceeding of the American Mathematical Society 137
  
  Pages: 1925-1932
- NAID
  120007138357
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Semisimplicity criteria for irreducible Hopf algebras2009
- Author(s)
  A.Masuoka
- Journal Title
  
  Proc.Amer.Math.Soc. 137
  
  Pages: 1925-1932
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Generalized q-boson alge-bras and their integrable modules2009
- Author(s)
  A.Masuoka
- Journal Title
  
  J.Algebra 322
  
  Pages: 2199-2219
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Hopf algebraic approach to Picard-Vessiot theory2009
- Author(s)
  K.Amano, A.Masuoka, M.Takeuchi
- Journal Title
  
  Handbook of Algebra Vol.6
  
  Pages: 127-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[Journal Article] Abelian and non-abelian second cohomologies for quantized enveloping algebras2008
- Author(s)
  A.Masuoka
- Journal Title
  
  J.Algebra 320
  
  Pages: 1-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Abelian and non-abelian cohomologies of quantized enveloping algebras2008
- Author(s)
  Akira MASUOKA
- Journal Title
  
  Journal of Algebra Vol.320
  
  Pages: 1-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540009
[Journal Article] Construction of quantized enveloping algebras by cocycle deformation2008
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  The Arabian Journal for Science and Engineering 33-2C
  
  Pages: 387-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Abelian and non - abelian second cohomologies of quantized enveloping algebras2008
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  Journal of Algebra 320
  
  Pages: 1-47
- NAID
  120007138767
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540009
[Journal Article] Abelian and non-abeiian second cohomologies of quantized enveloping algebras2008
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  Journal of Algebra 320
  
  Pages: 1-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Construction of quantized enveloping algebras by cocycle deformation2008
- Author(s)
  A.Masuoka
- Journal Title
  
  Arab.J.Sci.Eng.Sect.C Theme Issues 33
  
  Pages: 387-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540036
[Journal Article] Formal groups and unipotent affine groups in non-categorical symmetry2007
- Author(s)
  A. Masuoka
- Journal Title
  
  J. Algebra 317
  
  Pages: 226-249
- NAID
  120007139068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[Journal Article] Formal groups and unipotent affine groups in non-categorical symmetry2007
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  Journal of Algebra 317
  
  Pages: 226-249
- NAID
  120007139068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540009
[Journal Article] Formal groups and unipotent affine groups in non-categorical symmetry2007
- Author(s)
  A. Masuoka
- Journal Title
  
  Journal of Algebra Vol. 317
  
  Pages: 226-249
- NAID
  120007139068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[Journal Article] Formal groups and unipotent affine groups in non-categorical symmetry2007
- Author(s)
  A. Masuoka
- Journal Title
  
  Journal of Algebra 317
  
  Pages: 226-249
- NAID
  120007139068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[Journal Article] Formal groups and unipotent affine group in noncategorical symmetry2007
- Author(s)
  Akira MASUOKA
- Journal Title
  
  Journal of Algebra Vol.317
  
  Pages: 226-249
- NAID
  120007139068
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540009
[Journal Article] Formal groups and unipotent affine groups in non - categorical symmetry2007
- Author(s)
  増岡彰(Akira Masuoka)
- Journal Title
  
  Journal of Algebra 317
  
  Pages: 226-249
- NAID
  120007139068
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540009
[Journal Article] The fundamental correspondences in super affine groups and super formal groups2005
- Author(s)
  Akira Masuoka
- Journal Title
  
  J.Pure Appl.Algebra 202
  
  Pages: 284-312
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540196
[Journal Article] Picard-Vessiot extensions of artinian simple module algebras2005
- Author(s)
  天野勝利, 増岡彰
- Journal Title
  
  Journal of Algebra 285巻
  
  Pages: 743-767
- NAID
  120007131214
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Picard-Vessiot extensions of artinian simple module algebras2005
- Author(s)
  K.Amano, A.Masuoka
- Journal Title
  
  Journal of Algebra 258・2
  
  Pages: 743-767
- NAID
  120007131214
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] The fundamental correspandences in super affine groups and super formal groups2005
- Author(s)
  A.Masuoka
- Journal Title
  
  Journal of Pure and Applied Algebra 202
  
  Pages: 284-312
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Unipotent algebraic affine supergroups and nilpotent Lie superalgebras2005
- Author(s)
  A.Masuoka, T.Oka
- Journal Title
  
  Algebras and Repres.Theory 8
  
  Pages: 397-413
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Unipotent algebraic affine supergroups and nilpotent Lie superalgebras2005
- Author(s)
  増岡彰, 岡竜也
- Journal Title
  
  Algobras and Representation Theory 8巻
  
  Pages: 397-413
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] The fundamental correspondences in super affine groups and super formal groups2005
- Author(s)
  A.Masuoka
- Journal Title
  
  Journal of Pure and Appl.Algebra 202
  
  Pages: 284-312
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Unipotent algebraic affine supergroups and nilpotent Lie superalgebras2005
- Author(s)
  A.Masuoka, T.Oka
- Journal Title
  
  Algebras and Representation Theory 8
  
  Pages: 397-413
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] The fundamental correspondences in super affine groups and super formal groups2005
- Author(s)
  増岡彰
- Journal Title
  
  Journal of Pure and Applied Algebra 202巻
  
  Pages: 284-312
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] The fundamental correspondences in super affine groups and super formal groups2005
- Author(s)
  Masuoka, Akira
- Journal Title
  
  J. Pure Appl. Algebra 202
  
  Pages: 284-312
- Data Source
  KAKENHI-PROJECT-15540196
[Journal Article] Picard-Vessiot extensions of artinian simple module algebras2005
- Author(s)
  K.Amano, A.Masuoka
- Journal Title
  
  Journal of Algebra 285
  
  Pages: 743-767
- NAID
  120007131214
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Quantum lines over non-cocommutative cosemisimple Hopf algebras2004
- Author(s)
  C.Calimescu, S.Dascalescu, A.Masuoka, C.Menini
- Journal Title
  
  Journal of Algebra 273
  
  Pages: 753-779
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Example of almost commutative Hait algeloras which are not coqvasitriangular2004
- Author(s)
  A.Masuoka
- Journal Title
  
  Marcel Dekker, Lec. Notes in Pure and Appl. Math. 237
  
  Pages: 185-191
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Quantum lines over non-cocommutative cosemisimple Hopt algebras2004
- Author(s)
  C.Calinescu, S.Dascahesca, A.Masuoka, C.Menini
- Journal Title
  
  Journal of Algebra 273
  
  Pages: 753-779
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Quantum lines over non-cocommutative cosenusimple Hopf algebras2004
- Author(s)
  C.Calinescu, S.Dascarescu, A.Masuoka, C.Menini
- Journal Title
  
  Journal of Algebra 273
  
  Pages: 753-779
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Example of almost commutative Hopf algebras which are not coquasitriangular2004
- Author(s)
  A.Masuoka
- Journal Title
  
  Marcel Dekker, Lec.Notes in Pure and Appl.Math. 237
  
  Pages: 185-191
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Example of almost commutative Hopf algebras which are not coquasitriangular2004
- Author(s)
  A.Masuoka
- Journal Title
  
  A Dekker Series of Lec.Notes in Pure and Appl.Math. 237
  
  Pages: 185-191
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] The fundamental correspondence in super affine groups and super formal groups
- Author(s)
  A.Masuoka
- Journal Title
  
  Journal of Pure and Appl.Algebra (掲載予定)
- Data Source
  KAKENHI-PROJECT-16540008
[Journal Article] Formal groups and upiotent affine groups in non-categorical symmetry
- Author(s)
  Masuoka, Akira
- Journal Title
  
  journal of Algebra (accepted, available on web)
- Data Source
  KAKENHI-PROJECT-18540009
[Presentation] Geometric construction of G/H in supersymmetry2018
- Author(s)
  増岡彰
- Organizer
  第５１回環論および表現論シンポジューム
- Data Source
  KAKENHI-PROJECT-17K05189
[Presentation] デサントから見た微・差分ガロア理論2018
- Author(s)
  増岡彰
- Organizer
  Functional Equations and Transcendence
- Invited
- Data Source
  KAKENHI-PROJECT-17K05189
[Presentation] Survey on Hopf crossed products2018
- Author(s)
  Akira Masuoka
- Organizer
  Joint Mathematics Meetings 2018, MAA, AMS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05189
[Presentation] Super Lie groups over a complete field2016
- Author(s)
  増岡彰
- Organizer
  Workshop on Hopf algebras and tensor categories
- Place of Presentation
  中国、天津、南開大学、S.チャーン数学研究所
- Year and Date
  2016-09-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400035
[Presentation] Hopf crossed products and their applications to super algebraic groups2016
- Author(s)
  Akira Masuoka
- Organizer
  Humboldt Kolleg　Colloquium on Algebras and Representations-Quantum 2016
- Place of Presentation
  Universidad Nacional de Cordoba (アルゼンチン)
- Year and Date
  2016-03-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400035
[Presentation] The Miyashita action in Hopf-Galois Theory2015
- Author(s)
  Akira Masuoka
- Organizer
  Conference on ring theory in honor of Professor George Szeto on his retirement
- Place of Presentation
  岡山大学（岡山県岡山市）
- Year and Date
  2015-11-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400035
[Presentation] Hopf-algebraic approach to super affine groups2015
- Author(s)
  Akira Masuoka
- Organizer
  Workshop: Nichols Algebras and Their Interactions with Lie Theory, Hopf Algebras and Tensor Categories
- Place of Presentation
  Banff International Research Station (カナダ)
- Year and Date
  2015-09-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400035
[Presentation] Cleftness for universal quantum groups2014
- Author(s)
  増岡彰
- Organizer
  Mini-workshop on infinite-dimensional Hopf algebras
- Place of Presentation
  Oberwolfach数学研究所（ドイツ・オーべルヴォルファッハ）
- Year and Date
  2014-04-19
- Invited
- Data Source
  KAKENHI-PROJECT-26400035
[Presentation] Hopf-algebraic techniques applied to super algebraic groups2013
- Author(s)
  増岡彰
- Organizer
  代数学シンポジウム
- Place of Presentation
  広島大学（広島県）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf algebraic techniques applied to super algebraic groups2013
- Author(s)
  増岡彰
- Organizer
  アメリカ数学会, 地域会議
- Place of Presentation
  ボストンカレッジ(アメリカ合衆国)
- Year and Date
  2013-04-07
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf-algebraic techniques applied to super algebraic groups2013
- Author(s)
  Akira Masuoka
- Organizer
  Summer Meeting of the Canadian Mathematical Society
- Place of Presentation
  Dalhousie University （カナダ）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf algebraic techniques applied to super algebraic groups2013
- Author(s)
  増岡彰
- Organizer
  カナダ数学会, サマー・ミーティング
- Place of Presentation
  ダルハイジー大学 (カナダ)
- Year and Date
  2013-06-06
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf-algebraic techniques applied to super algebraic groups2013
- Author(s)
  Akira Masuoka
- Organizer
  Sectional Meeting of American Mathematical Society
- Place of Presentation
  Boston College （アメリカ合衆国）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf algebraic techniques applied to super algebraic groups2013
- Author(s)
  増岡彰
- Organizer
  日本数学会, 代数学シンポジウム
- Place of Presentation
  広島大学 (広島市)
- Year and Date
  2013-08-26
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Mini-course on Hopf algebras ---Hopf crossed products2012
- Author(s)
  増岡彰
- Organizer
  Conference on Ring Theory
- Place of Presentation
  中山大学 (中国)
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Mini-course on Hopf algebras-Hopf crossed products2012
- Author(s)
  Akira Masuoka
- Organizer
  Conference on Ring Theory
- Place of Presentation
  Sun Yat-Sen University （中国）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf algebraic approach to Picard-Vessiot theory2011
- Author(s)
  A.Masuoka
- Organizer
  AMS-MAA合同数学会議
- Place of Presentation
  ニューオリオンズ(米国)
- Year and Date
  2011-01-08
- Data Source
  KAKENHI-PROJECT-20540036
[Presentation] On affine super groups2010
- Author(s)
  A.Masuoka
- Organizer
  Non-commutative Algebras and Quantum Groups, Conference in Honor of Prof. Mia Cohen
- Place of Presentation
  イスラエル・Ben Gurion大学
- Year and Date
  2010-05-25
- Data Source
  KAKENHI-PROJECT-20540036
[Presentation] Hopf Galois approach to Picard-Vessiot theory2010
- Author(s)
  Akira Masuoka
- Organizer
  Galois theory and explicit methods
- Place of Presentation
  スペイン・バルセロナ大学(招待講演)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-20540036
[Presentation] Hopf algebraic approach to Picard-Vessiot theory2010
- Author(s)
  A.Masuoka
- Organizer
  Galois Theory and Explicit Methods
- Place of Presentation
  スペイン・バルセロナ大学
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-20540036
[Presentation] Hopf-Galois approach to quantum groups2009
- Author(s)
  増岡彰(Akira Masuoka)
- Organizer
  Conference in honor of Professor Hans-Juergen Schneider
- Place of Presentation
  アルゼンチン、コルドバ
- Year and Date
  2009-09-05
- Data Source
  KAKENHI-PROJECT-20540036
[Presentation] Hopf-Galois approach to quantum groups2009
- Author(s)
  A.Masuoka
- Organizer
  Conference in Honor of Prof. Hans-Juergen Schneider
- Place of Presentation
  アルゼンチン国立コルドバ大学
- Year and Date
  2009-09-05
- Data Source
  KAKENHI-PROJECT-20540036
[Presentation] コサイクル変形としての量子包絡環2008
- Author(s)
  増岡彰
- Organizer
  日本数学会2008年会
- Place of Presentation
  近畿大学理工学部
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-18540008
[Presentation] コサイクル変形としての量子包絡環2008
- Author(s)
  増岡彰
- Organizer
  日本数学会2008 年会
- Place of Presentation
  近畿大学理工学部
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-18540008
[Presentation] コサイクル変形としての量子包絡環2008
- Author(s)
  増岡彰
- Organizer
  日本数学会2008年会
- Place of Presentation
  近畿大学理学部
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-18540008
[Presentation] Computing the second cohomology of Hopf algebras2007
- Author(s)
  増岡彰(Akira Masuoka)
- Organizer
  アメリカ数学会2007秋中部地区会議
- Place of Presentation
  シカゴDePaul大学
- Year and Date
  2007-10-06
- Data Source
  KAKENHI-PROJECT-18540009
[Presentation] Computing the second cohomology of Hopf algebras2007
- Author(s)
  増岡, 彰(Akira Masuoka)
- Organizer
  アメリカ数学会2007秋中部地区会議
- Place of Presentation
  シカゴ DePaul 大学
- Year and Date
  2007-10-06
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540009
[Presentation] Computing the second cohomology of Hopf algrebras2007
- Author(s)
  Akira MASUOKA
- Organizer
  American Mathematical Society, 2007 Fall Central Section Meeting
- Place of Presentation
  DePaul University(Loop Campus), Chicago
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540009
[Presentation] Hopf algebraic techniques applied to super algebraic groups
- Author(s)
  増岡彰
- Organizer
  カナダ数学会
- Place of Presentation
  ダルハウジー大学(カナダ）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf algebraic techniques applied to super algebraic groups
- Author(s)
  増岡彰
- Organizer
  日本数学会代数学シンポジウム
- Place of Presentation
  広島大学(広島市）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039
[Presentation] Hopf algebraic techniques applied to super algebraic groups
- Author(s)
  増岡彰
- Organizer
  アメリカ数学会
- Place of Presentation
  ボストンカリッジ(アメリカ）
- Invited
- Data Source
  KAKENHI-PROJECT-23540039

1. TAKEUCHI Mitsuhiro (00015950)

# of Collaborated Projects: 6 results

# of Collaborated Products: 2 results
2. MORITA Jun (20166416)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. FUJITA Hisamasa (60143161)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. TANABE Kenichiro (10334038)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. NAITO Satoshi (60252160)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. MASUDA Tetsuya (70202314)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. AMANO Katsutoshi (40400642)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
8. NISHIMURA Hirokazu (70135614)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. WAKUI Michihisa (60252574)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. MIYAMOTO Masahiko (30125356)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. YAMAGAMI Shigeru (90175654)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. OSHIMA Hideaki (70047372)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. YAMANOUCHI Takehiko (30241293)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SHIOYA Masahiro (30251028)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. TSUBOI Akito (30180045)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 高橋〓一 (10014987)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 船橋昭一 (40072136)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 星野光男 (90181495)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. SHIBATA Taiki

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
20. ISHII Atsushi

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Masuoka Akira 増岡 彰

MASUOKA Akira 増岡 彰

増岡 彰 マスオカ アキラ

Research Projects

Research Products

Co-Researchers

Development of supersymmetric Picard-Vessiot TheoryPrincipal Investigator

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Hopf-Galois theory applied to supergeometryPrincipal Investigator

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Super-groups and super-geometry from Hopf-algebraic view-pointPrincipal Investigator

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Study of super-algebraic groups using Hopf algebrasPrincipal Investigator

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Study of super algebraic groups from functorial viewpointPrincipal Investigator

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Hopf-Galois theoretic approach to quantum groupsPrincipal Investigator

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RESEARCH ON THE REPRESENTATION CATEGORIES OF HOPF ALGEBRAS BY USING THEIR BRAIDING STRUCTURES

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Hopf algebras and their applications to quantum groups

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Unifying differential and difference Picard Vessiot theories by using HopfalgebrasPrincipal Investigator

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STUDY ON FULL MATRIX ALGEBRAS WITH STRUCTURE SYSTEMS

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Generalization of Hopf-quotient theory and applications to subfactors and othersPrincipal Investigator

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Algebraic structures and analysis in tensor categories and quantum groupoids

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Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidingsPrincipal Investigator

Principal Investigator

Masuoka Akira 増岡彰

MASUOKA Akira 増岡彰

増岡彰マスオカアキラ