Ip Ivan IP Ivan

Researcher Number	50646031
Affiliation (based on the past Project Information) *help	2016 – 2017: 京都大学, スーパーグローバルコース数学系ユニット, 特定助教 2015: 京都大学, 大学院理学研究科, 助教 2015: 京都大学, 理学(系)研究科(研究院), 助教 2014: 東京大学, カブリ数物連携宇宙研究機構, 特任研究員
Review Section/Research Field	Principal Investigator Algebra
Keywords	Principal Investigator quantum Lie superalgebra / cluster algebra / positive representation / Teichmuller theory / modular double / quantum groups / root of unity limit / split real quantum group / teichmuller theory / cluster algbera … More / Ramond puncture / Peter Weyl / integrable systems / Positive representation / Teichmuller Theory / Modular Double / Casimir operators / TQFT / braided tensor category / Positive Representation Less

Research Projects
(2 results)
Research Products
(28 results)

Positive RepresentationsPrincipal Investigator
- Principal Investigator
  
  Ip Ivan
- Project Period (FY)
  2016 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Positive RepresentationsPrincipal Investigator
- Principal Investigator
  
  Ip Ivan
- Project Period (FY)
  2014 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
  The University of Tokyo

All 2018 2017 2016 2015 2014 Other

All Journal Article Presentation

[Journal Article] Cluster Realization of positive representations of split real quantum Borel subalgebra2018
- Author(s)
  Ip, Ivan Chi-Ho
- Journal Title
  
  Theoretical and Mathematical Physics (印刷中)
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17571
[Journal Article] Positive Casimir and central characters of split real quantum groups2016
- Author(s)
  Ivan Ip
- Journal Title
  
  Communication in Mathematical Physics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800004
[Journal Article] On tensor products of positive representations of split real quantum Borel subalgebra Uqq'(bR)2016
- Author(s)
  Ivan Ip
- Journal Title
  
  Transactions of the American Mathematical Society (印刷中)
  
  Volume: - Issue: 6 Pages: 4177-4200
- DOI
  10.1090/tran/7110
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17571
[Journal Article] Positive Casimir and central characters of split real quantum groups2016
- Author(s)
  Ivan Ip
- Journal Title
  
  Communication in Mathematical Physics
  
  Volume: 344 (3) Issue: 3 Pages: 857-888
- DOI
  10.1007/s00220-016-2639-2
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17571
[Journal Article] Quantum dilogarithm identities at root of unity2015
- Author(s)
  Ivan Ip, Masahito Yamazaki
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800004
[Journal Article] Gauss-Lusztig decomposition for positive quantum groups and representation by q-tori2015
- Author(s)
  Ivan Ip
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 29 Issue: 12 Pages: 5650-5672
- DOI
  10.1016/j.jpaa.2015.05.038
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Cluster realization and tensor product decomposition of positive representations2018
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  MathPhys 2018, Rikkyo University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive Representations of Split Real Quantum Groups2017
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  Scientific Seminar, Perimeter Institute
- Invited
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Generalized Teichmuller Spaces, Spin Structures, and Ptolemy Transformations2017
- Author(s)
  Ivan Chi Ho Ip
- Organizer
  Mathematics and Superstring Theory -Unlocking the Mysteries of the Accelerating Universe through Superstring Theory and Astrophysical Observations -
- Place of Presentation
  東京大学カブリIPMU, 千葉県
- Year and Date
  2017-03-21
- Invited
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive representation and cluster realization of quantum groups2017
- Author(s)
  Ivan Chi Ho Ip
- Organizer
  日本数学会2017年度年会、特別講演
- Place of Presentation
  首都大学東京, 東京都
- Year and Date
  2017-03-24
- Invited
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive Representations of Split Real Quantum Groups2017
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  Geometric Representation Theory Seminar, University of Toronto
- Invited
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive representations and cluster realization of quantum groups2017
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  Workshop on Classical and Quantum Integrable Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Cluster realization and tensor product decomposition of positive representation2017
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  Infinite Analysis 17, Osaka City University
- Invited
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] On tensor product decomposition of positive representations2017
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  Mathematics Society of Japan Autumn Meeting 2017
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Generalized Teichmuller Spaces, Spin Structures, and Ptolemy Transformations2017
- Author(s)
  Ip, Ivan Chi-Ho
- Organizer
  Workshop on Representation Theory of Lie Superalgebras and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive representations of split real quantum groups2016
- Author(s)
  Ivan Chi Ho Ip
- Organizer
  日本数学会2016年度秋季総合分科会
- Place of Presentation
  関西大学, 大阪府
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive Casimir and Central Characters of Split Real Quantum Groups2016
- Author(s)
  Ivan Ip
- Organizer
  Geometry, Symmetry and Physics Seminar
- Place of Presentation
  Yale University, USA
- Year and Date
  2016-03-08
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Positive representations of split real quantum groups2016
- Author(s)
  Ivan Chi Ho Ip
- Organizer
  Mathematics Colloquium
- Place of Presentation
  HKUST, Hong Kong
- Invited
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive Casimir and Central Characters of Split Real Quantum Groups2016
- Author(s)
  Ivan Chi Ho Ip
- Organizer
  Mathematical Physics and Geometric Analysis Seminar
- Place of Presentation
  KIAS, Seoul, Korea
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Positive Casimir and Central Characters of Split Real Quantum Groups2016
- Author(s)
  Ivan Ip
- Organizer
  Columbia Symplectic Geometry, Gauge Theory, and Categorification Seminar
- Place of Presentation
  Columbia University, USA
- Year and Date
  2016-03-11
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Split Real Quantum Groups2016
- Author(s)
  Ivan Chi Ho Ip
- Organizer
  The 24th International Conference on Integrable Systems and Quantum symmetries
- Place of Presentation
  CVUT, Prague, Czech Republic
- Year and Date
  2016-06-14
- Data Source
  KAKENHI-PROJECT-16K17571
[Presentation] Quantum dilogarithm identities at root of unity2015
- Author(s)
  Ivan Ip
- Organizer
  Seminar on Pure Mathematics
- Place of Presentation
  HKUST, Hong Kong
- Year and Date
  2015-07-09
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Positive Casimir and Central Characters of Split Real Quantum Groups2015
- Author(s)
  Ivan Ip
- Organizer
  Representation Theory Seminar
- Place of Presentation
  RIMS, Kyoto
- Year and Date
  2015-06-04
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Quantum dilogarithm identities at root of unity2015
- Author(s)
  Ivan Ip
- Organizer
  Geometry Seminar
- Place of Presentation
  HKU, Hong Kong
- Year and Date
  2015-09-24
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Positive Representations and Quantum Higher Teichmuller Theory2014
- Author(s)
  Ivan Ip
- Organizer
  International Conference "Mathematics Days in Sofia"
- Place of Presentation
  Institute of Mathematics and Informatics, Sofia, Bulgaria
- Year and Date
  2014-07-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Positive Representations and Quantum Higher Teichmuller Theory2014
- Author(s)
  Ivan Ip
- Organizer
  RIMS Project 2014 on Geometric Representation Theory
- Place of Presentation
  Research Institute for Mathematical Sciences, Kyoto, Japan
- Year and Date
  2014-07-29
- Invited
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Positive Representations and Quantum Higher Teichmuller Theory2014
- Author(s)
  Ivan Ip
- Organizer
  30th International Colloquium on Group Theoretical Methods in Physics (Group30)
- Place of Presentation
  Ghent University, Ghent, Belgium
- Year and Date
  2014-07-15
- Invited
- Data Source
  KAKENHI-PROJECT-26800004
[Presentation] Lectures on Positive Representations and Quantum Higher Teichmuller Theory
- Author(s)
  Ivan Ip
- Organizer
  Quantum groups and integrability - Algebraic, analytic and geometric aspects
- Place of Presentation
  Universitat Hamburg, Hamburg, Germany
- Year and Date
  2014-07-21 – 2014-07-25
- Invited
- Data Source
  KAKENHI-PROJECT-26800004

Ip Ivan IP Ivan

Research Projects

Research Products

Positive RepresentationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Positive RepresentationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Cluster Realization of positive representations of split real quantum Borel subalgebra2018

Author(s)

Journal Title

Data Source

[Journal Article] Positive Casimir and central characters of split real quantum groups2016

Author(s)

Journal Title

Data Source

[Journal Article] On tensor products of positive representations of split real quantum Borel subalgebra Uqq'(bR)2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Positive Casimir and central characters of split real quantum groups2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Quantum dilogarithm identities at root of unity2015

Author(s)

Journal Title

Data Source

[Journal Article] Gauss-Lusztig decomposition for positive quantum groups and representation by q-tori2015

Author(s)

Journal Title

DOI

Data Source

[Presentation] Cluster realization and tensor product decomposition of positive representations2018

Author(s)

Organizer

Data Source

[Presentation] Positive Representations of Split Real Quantum Groups2017

Author(s)

Organizer

Data Source

[Presentation] Generalized Teichmuller Spaces, Spin Structures, and Ptolemy Transformations2017

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Positive representation and cluster realization of quantum groups2017

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Positive Representations of Split Real Quantum Groups2017

Author(s)

Organizer

Data Source

[Presentation] Positive representations and cluster realization of quantum groups2017

Author(s)

Organizer

Data Source

[Presentation] Cluster realization and tensor product decomposition of positive representation2017

Author(s)

Organizer

Data Source

[Presentation] On tensor product decomposition of positive representations2017

Author(s)

Organizer

Data Source

[Presentation] Generalized Teichmuller Spaces, Spin Structures, and Ptolemy Transformations2017

Author(s)