Miyachi Hyohe

ミヤチヒョウエ | Miyachi Hyohe

Affiliation and department：
Job title： Associate Professor

Research field (1)： Algebra

Research keywords (4)： Kazhdan-Lusztig polynomials , Rational double affine Hecke algebras , 代数群と量子群の表現論 , Representation Theory of Algebraic Groups and Quantum Groups

Research theme for competitive and other funds (9)：

2018 - 2023 On quasihereditary covers and functors
2012 - 2017 Quantized Schur algebras, Koszul duality and categorifications
2010 - 2015 Generalizations of perfect isometries between the sets of characters of finite groups
2008 - 2012 Representation theory of algebraic groups, quantum groups and Hecke algebras
2008 - 2010 有限体上の対称空間と新谷descent

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Papers (16)：

KUWABRA Toshiro, MIYACHI Hyohe, WADA Kentaro. On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras. Osaka J. Math. 2021. 58. 1. 103-134
Ming Fang, MIYACHI Hyohe. Hochschild cohomology and dominant dimension. Trans. Amer. Math. Soc. 2019. 371. 5267-5292
Joseph Chuang, Hyohe Miyachi, Kai Meng Tan. Parallelotope tilings and q-decomposition numbers. ADVANCES IN MATHEMATICS. 2017. 321. 80-159
Maria Chlouveraki, Hyohe Miyachi. Decomposition matrices for d-Harish-Chandra series: the exceptional rank two cases. LMS JOURNAL OF COMPUTATION AND MATHEMATICS. 2011. 14. 271-290
Joseph Chuang, Hyohe Miyachi. Runner Removal Morita Equivalences. REPRESENTATION THEORY OF ALGEBRAIC GROUPS AND QUANTUM GROUPS. 2010. 284. 284. 55-+

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MISC (7)：

MIYACHI Hyohe. $v$-ANALOGUES OF KLESHCHEV BRANCHING COEFFICIENTS AND DECOMPOSITION NUMBERS. 2005. 1438. 1-18
Miyachi Hyohe. SOME DEGENERATE UNIPOTENT BLOCKS (Cohomology Theory of Finite Groups and Related Topics). RIMS Kokyuroku. 2004. 1357. 119-123
MIYACHI Hyohe. SOME DEGENERATE UNIPOTENT BLOCKS. 2004. 1375. 119-123
宮地兵衛. $F_4$型HECKE環のブロックについて. 数理解析研究所講究録. 2004. 1382. 171-188
宮地兵衛. $GL_n(F_q)$のブロックにおける圏同値の組合わせ論的記述,$q$との独立性と分解定数について. 数理解析研究所講究録. 2001. 1190. 35-49

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Books (2)：

組合せ論的表現論の拡がり
京都大学数理解析研究所 2009
表現論における組合せ論的手法とその応用
京都大学数理解析研究所 2005

Lectures and oral presentations (9)：

On the Mackey formula for Hecke algebras associated with the complex reflection group of type G(r,1,n)
(2019)
Hochschild cohomology and dominant dimension
(Cohomology Theory of Finite Groups and Related Topics 2019)
On the Mackey formula for Hecke algebras and GGOR category O
(Workshop on Representation Theory of Symmetric Groups and Related Algebras 2017)
Cuspidal modules over Rational Cherednik algebras and finite Chevalley groups
(The 3rd International Symposium on Groups, Algebras and Related Topics, the 50th anniversary of the “Journal of Algebra” 2013)
Rational Cherednik algebras and finite Chevalley groups in characteristic l>0
(Modular Representation Theory of Finite and p-adic Groups 2013)

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Works (6)：

主催導来同値ワークショップ
宮地兵衛 2015 - 2015
Representation Theory of Chevalley Groups and Related Topics
Hyohe MIYACHI 2012 - 2012
平成20年度RIMS研究集会「組合せ論的表現論の拡がり」主催・講究録作成
2008 -
一般線型群のモジュラー表現論
2007 -
書評:岡田聡一, 古典群の表現論と組み合わせ論(上・下)
2007 -

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Work history (7)：

2022/04 - 現在 Osaka Metropolitan University
2012/04/01 - 現在 Osaka City University Graduate School of Science Mathematics and Physics Course Associate Professor
2012/04 - 現在 Osaka City University Department of Mathematics Associate Professor
2007 - 2012/03 Nagoya University Graduate School of Mathematics Assistant Professor
2003/05 - 2007 Nagoya University Graduate School of Mathematics Assistant Professor

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Association Membership(s) (1)：

Mathematical Society of Japan

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