Tanisaki Toshiyuki

タニサキトシユキ | Tanisaki Toshiyuki

Research field (1)： Algebra

Research theme for competitive and other funds (20)：

2015 - 2018 代数解析的手法による幾何学的表現論の研究
2012 - 2015 代数解析的手法による代数群の表現論の研究
2009 - 2012 D-modules on infinite-dimensional algebraic varieties and their application to representation theory
2007 - 2010 Research on representation theory of algebraic groups and quantum groups via algebraic analysis
2005 - 2008 非可換代数多様体上のD加群とその表現論への応用

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Papers (36)：

Toshiyuki Tanisaki. The ring of differential operators on a quantized flag manifold. 2024
Toshiyuki Tanisaki. The Koszul Complex and a Certain Induced Module for a Quantum group. International Mathematics Research Notices. 2024
Toshiyuki Tanisaki. Categories of $D$-modules on a quantized flag manifold. 2023
Toshiyuki Tanisaki. Differential operators on quantized flag manifolds at roots of unity III. Advances in Mathematics. 2021. 392. 107990-107990
Toshiyuki Tanisaki. Affine open covering of the quantized flag manifolds at roots of unity. Journal of Algebra. 2021. 586. 62-98

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MISC (5)：

Toshiyuki Tanisaki. The work of Masaki Kashiwara. Sugaku. 2020. 72. 1. 79-89
Toshiyuki Tanisaki. Calendar days in Kojiki and Nihonshoki. 2017
Toshiyuki Tanisaki. Hiraku Nakajima has been awarded the Japan Academy prize. Sugaku Tushin. 2014. 19. 2. 24-27
Toshiyuki Tanisaki. Lie algebras and quantum groups -- The origin of the Dynkin diagram. Have fun with mathematics. 2001. 23. 35-44
Toshiyuki Tanisaki. The universal R-matrices and the centers for quantum groups. Mathematical sciences. 1992. 30. 3. p45-47

Books (5)：

D-modules and algebraic groups (in Japanese)
Maruzen Publishing Co., Ltd. 2020 ISBN:9784431706823
Non-commutative rings (in Japanese)
Iwanami 2016 ISBN:9784007305498
D-modules, Perverse Sheaves and Representation Theory
Birkhauser 2007 ISBN:9780817643638
Lie algebras and quantum groups (in Japanese)
Kyoritsu 2002 ISBN:9784320016927
Rings and fields 3 (in Japanese)
Iwanami 1998 ISBN:9784000106450

Lectures and oral presentations (19)：

Quantized flag manifolds and representations of quantum groups
(Algebraic Lie Theory and Representation Theory 2024 (Aso) 2024)
Representations of quantum groups at roots of 1
(63th algebra symposium 2018)
Quantized flag manifolds and representations of quantum groups
(ECNU workshop on Lie theory and representation theory V (Shanghai ECNU) 2018)
Characters of integrable highest weight modules over a quantum group
(Conference on Lie theory and representation theory (Shanghai Tongji univ.) 2018)
Quantized flag manifolds and representations of quantum groups
(MSJ Annual meeting, featured invited talk 2018)

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Professional career (1)：

Association Membership(s) (2)：

THE MATHEMATICAL SOCIETY OF JAPAN , 全国邪馬台国連絡協議会

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