KIRILLOV Anatol

… Alternative Names

KIRILLOV Anatoli キリロフアナトーリ

KIRILLOV Anatol N. ANATOL N. Kirillov

KIRILLOV A.N. キリーロフアナトール N

ANATOL Kirillov

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Researcher Number	30346035
Affiliation (based on the past Project Information) *help	2009: 京都大学, 数理解析研究所, 准教授 2002 – 2006: 京都大学, 数理解析研究所, 助教授 2004: KYOTO UNIVERSITY, Research Institute for Mathematical Sciences, Associate Professor 2004: 数理解析研究所, 助教授
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator Flat connections / Tropical RSK / Parabolic Kostka polynomials / Schubert Calculus / Amoebas / Nichols-Woronowicz algebras / Virasoro algebra / Torus knots / Associated Askey-Wilson functions / Sato gra smannian … More / Schubert polynomials / Bracket algebra / Quantum cohomology / Coxeter groups / Generalized saturation theorem / Weyl modules / Nichols algebras / Discrete integrable systems / 平坦接続 / Nichols-Woronowicz代数 / Virasoro代数 / トーラス結び目 / トロピカルRSK / 放物型コストカ多項式 … More Except Principal Investigator D-加群 / 結晶基底 / 量子群 / 表現論 / D-modules / quantum group / crystal bases / representation theory / 組み合わせ / 可解模型 / 幾何学的表現論 / 旗多様体 / 偏屈層 / アフィンヘッケ環 / 変形量子化 / 融合積 / カレント代数 / ワイル加群 Less

Algebraic Analysis of Infinite Symmetry
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
高次元カレント代数の表現論
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  2004
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatoricsPrincipal Investigator
- Principal Investigator
  
  KIRILLOV Anatol N.
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Algebraic Analysis of Representation Theory
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY

All 2006 2005 2004 2003 Other

All Journal Article

[Journal Article] Braided differential calculus and quantum Schubert calculus2006
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  Formal Power Series and Algebraic Combinatorics, San Diego
  
  Pages: 1-8
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Wonderful Amoebas2006
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  Sugaku 58
  
  Pages: 1-14
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups2005
- Author(s)
  Kirillov A.N., Maeno T.
- Journal Title
  
  Lett.in Math.Phys. (to appear)
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] On some noncommutative algebras related with K-theory of flag varieties2005
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  International Research Mathematical Notices 60
  
  Pages: 3753-3789
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Exterior differential algebras and flat connections on Weyl groups2005
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  Proceedings of the Japan Academy 81
  
  Pages: 30-35
- NAID
  40006922884
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] A note on quantization on Nichols algebra model for Schubert calculus on Weyl groups2005
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  Lett.in Math.Phys. 72
  
  Pages: 233-241
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] A note on quantization on Nichols algebra model for Schubert calculus on Weyl groups2005
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  Lett. in Math. Phys. 72
  
  Pages: 233-241
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Hypergeometric generating function of L-function, Slater's identities and Quantum invariant2005
- Author(s)
  Kirillov.A.N., K.Hikami
- Journal Title
  
  Algebra i Analiz 17, no.1
  
  Pages: 187-205
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] On some noncommutative algebras related with K-theory of flag varieties,2005
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  International Research Mathematical Notices 60
  
  Pages: 3753-3789
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Exterior differential algebras and flat connections on Weyl groups2005
- Author(s)
  Kirillov A.N., Maeno T.
- Journal Title
  
  Pros.Japan.Acad. 81・SerA
  
  Pages: 30-35
- NAID
  40006922884
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Hypergeometric generating function of L-function, Slater's identities and Quantum invariant2005
- Author(s)
  Kirillov.A.N., K.Hikami
- Journal Title
  
  Algebra i Analiz 17・no.1
  
  Pages: 187-205
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Invitation to Generalized Staturation Conjecture2004
- Author(s)
  Kirillov A.N.
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 1147-1239
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Noncommutatative algebras related with Schubert calculus on Coxeter groups2004
- Author(s)
  Kirillov A.N., Maeno T.
- Journal Title
  
  European Journ.of Comb. 25
  
  Pages: 1301-1325
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] An invitation to the generalized saturation conjecture2004
- Author(s)
  Kirillov.A.N.
- Journal Title
  
  Publications of RIMS Kyoto University 40
  
  Pages: 1147-1239
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] An invitation to the generalized saturation conjecture2004
- Author(s)
  Anatol N.Kirillov
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 1147-1239
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440006
[Journal Article] Noncommutative algebras related with Schubert calculus on Coxeter groups2004
- Author(s)
  Kirillov.A.N., T.Maeno
- Journal Title
  
  European Journal of Combinatorics 25
  
  Pages: 1301-1325
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Torus knot and minimal model2003
- Author(s)
  Kirillov.A.N., K.Hikami
- Journal Title
  
  Physics Letters B 575
  
  Pages: 343-348
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] On some quadratic algebras, II
- Author(s)
  Kirillov.A.N.
- Journal Title
  
  Preprint (submitted)
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Elementary Askey-Wilson functions
- Author(s)
  Kirillov.A.N., van Diejen F.
- Journal Title
  
  (submitted)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Elementary Askey-Wilson functions
- Author(s)
  Kirillov.A.N., van Diejen F.
- Journal Title
  
  (submitted)
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] {em Combinatorics and Geometry of Higher Level Weyl Modules}
- Author(s)
  B.Feigin, A.M.〜Kirillov, S.Loktev
- Journal Title
  
  math.QA/0503315 (掲載予定)
- Data Source
  KAKENHI-PROJECT-16654003
[Journal Article] On some quadratic algebras, II
- Author(s)
  Kirillov.A.N.
- Journal Title
  
  (preprint)(submitted)
  
  Pages: 50-50
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] Elementary Askey-Wilson functions
- Author(s)
  Kirillov.A.N., van Diejen F.
- Journal Title
  
  (submitted)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006
[Journal Article] On some quadratic algebras, II
- Author(s)
  Kirillov.A.N.
- Journal Title
  
  Preprint (submitted)
  
  Pages: 50-50
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340006

1. MIWA Tetsuji (10027386)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. KASHIWARA Masaki (60027381)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. NAKAJIMA Hiraku (00201666)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. TANISAKI Toshiyuki (70142916)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. ARIKI Susumu (40212641)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KANEDA Masaharu (60204575)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NAKASHIMA Toshiki (60243193)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. NAKAYASHIKI Tasushi (10237456)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. SUZUKI Takeshi (30335294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. YAMADA Yasuhiko (00202383)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MAENO Toshiaki (60291423)

# of Collaborated Projects: 1 results

# of Collaborated Products: 11 results
14. LOKTEV Sergei

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

KIRILLOV Anatol

KIRILLOV Anatoli キリロフ アナトーリ

KIRILLOV Anatol N. ANATOL N. Kirillov

KIRILLOV A.N. キリーロフ アナトール N

ANATOL Kirillov

Research Projects

Research Products

Co-Researchers

Algebraic Analysis of Infinite Symmetry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

高次元カレント代数の表現論

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatoricsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Algebraic Analysis of Representation Theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Braided differential calculus and quantum Schubert calculus2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] Wonderful Amoebas2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups2005

Author(s)

Journal Title

Data Source

[Journal Article] On some noncommutative algebras related with K-theory of flag varieties2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Exterior differential algebras and flat connections on Weyl groups2005

Author(s)

Journal Title

NAID

Description

Data Source

[Journal Article] A note on quantization on Nichols algebra model for Schubert calculus on Weyl groups2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] A note on quantization on Nichols algebra model for Schubert calculus on Weyl groups2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Hypergeometric generating function of L-function, Slater's identities and Quantum invariant2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] On some noncommutative algebras related with K-theory of flag varieties,2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Exterior differential algebras and flat connections on Weyl groups2005

Author(s)

Journal Title

KIRILLOV Anatoli キリロフアナトーリ

KIRILLOV A.N. キリーロフアナトール N