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J-GLOBAL ID：201301063549586573
Update date: Mar. 23, 2024
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
- 2005 - 2007 Lie algebras and quantum groups via algebraic analysis
- 2003 - 2005 代数群の表現の代数解析的研究
- 2001 - 2003 Representation theory of Lie algebras and quantum groups
- 2000 - 2002 リー代数と量子群の表現論の代数解析的研究
- 1998 - 1999 有限体およびP進体上のKZ方程式とその表現論への応用
- 1997 - 1998 Represontation theory of algebraic groups
- 1995 - 1995 無限次元リー代数の代数解析学的研究
- 1995 - 1995 無限次元リー代数と量子群の表現論の代数解析的研究
- 1993 - 1993 無限次元リー代数と量子群の表現の幾何学的研究
- 1991 - 1991 量子群の幾何学的研究
- 1990 - 1990 半単純群および量子群の表現の代数解析的研究
- 1989 - 1989 半単純群の表現とホッジ構造
- 1987 - 1987 ヘッケ代数の表現とホッジ構造
- 1986 - 1986 アフィンワイル群の表現とD-加群
- 1982 - 1982 単純リー環の共役類の定義イデアル
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Papers (35)：
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Toshiyuki Tanisaki. The Koszul Complex and a Certain Induced Module for a Quantum group. International Mathematics Research Notices. 2024
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Toshiyuki Tanisaki. Categories of $D$-modules on a quantized flag manifold. 2023
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Toshiyuki Tanisaki. Differential operators on quantized flag manifolds at roots of unity III. Advances in Mathematics. 2021. 392. 107990-107990
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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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Toshiyuki Tanisaki. Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity. 2021
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MISC (5)：
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Toshiyuki Tanisaki. The work of Masaki Kashiwara. Sugaku. 2020. 72. 1. 79-89
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Toshiyuki Tanisaki. Calendar days in Kojiki and Nihonshoki. 2017
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Toshiyuki Tanisaki. Hiraku Nakajima has been awarded the Japan Academy prize. Sugaku Tushin. 2014. 19. 2. 24-27
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Toshiyuki Tanisaki. Lie algebras and quantum groups -- The origin of the Dynkin diagram. Have fun with mathematics. 2001. 23. 35-44
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Toshiyuki Tanisaki. The universal R-matrices and the centers for quantum groups. Mathematical sciences. 1992. 30. 3. p45-47
Books (5)：
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D-modules and algebraic groups (in Japanese)
Maruzen Publishing Co., Ltd. 2020 ISBN:9784431706823
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Non-commutative rings (in Japanese)
Iwanami 2016 ISBN:9784007305498
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D-modules, Perverse Sheaves and Representation Theory
Birkhauser 2007 ISBN:9780817643638
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Lie algebras and quantum groups (in Japanese)
Kyoritsu 2002 ISBN:9784320016927
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Rings and fields 3 (in Japanese)
Iwanami 1998 ISBN:9784000106450
Lectures and oral presentations (18)：
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Representations of quantum groups at roots of 1
(63th algebra symposium 2018)
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Quantized flag manifolds and representations of quantum groups
(ECNU workshop on Lie theory and representation theory V (Shanghai ECNU) 2018)
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Characters of integrable highest weight modules over a quantum group
(Conference on Lie theory and representation theory (Shanghai Tongji univ.) 2018)
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Quantized flag manifolds and representations of quantum groups
(MSJ Annual meeting, featured invaited talk 2018)
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The Drinfeld pairing and the braid group action for a quantized enveloping algebra
(Conference on Algebraic Representation Theory (Shenzhen) 2016)
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Professional career (1)：
- Doctor of Science (Tohoku University)
Association Membership(s) (2)：
THE MATHEMATICAL SOCIETY OF JAPAN
, 全国邪馬台国連絡協議会
