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J-GLOBAL ID：200901024808047297 Update date: Jan. 30, 2024

Ariki Susumu

アリキススム | Ariki Susumu

Affiliation and department：

Research field (1)： Algebra

Research keywords (1)：表現論

Research theme for competitive and other funds (30)：

2021 - 2026 Representation theory of wild cyclotomic quiver Hecke algebras and the symmetric group
2018 - 2022 Research on finite dimensional algebras and combinatorial objects that appear in Lie theory
2015 - 2018 Representation theory of quiver Hecke algebras
2015 - 2018 Research on Lie theory and representation theory of algebras
2010 - 2015 Generalizations of perfect isometries between the sets of characters of finite groups

2010 - 2015 Algebraic analysis of infinite symmetry

2011 - 2014 Graded Hecke algebras and quasihereditary covers

2011 - 2012 Khovanov-Lauda-Rouquier代数の表現論の研究

2008 - 2012 Representation theory of algebraic groups, quantum groups and Hecke algebras

2008 - 2010 Towards further development of the representation theory of cyclotomic Hecke algebras

2007 - 2009 Research on representation theory of algebraic groups and quantum groups via algebraic analysis

2006 - 2009 Algebraic Analysis of Infinite Symmetry

2005 - 2007 Representation theory of algebraic groups, Hecke algebras and canpex refiecion groups

2004 - 2007 Remark on modular representations of non-commutative algebraic systems

2003 - 2005 Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatorics

2002 - 2003 Representations of Hecke algebras

2001 - 2003 Representation theory of algebraic groups, Hecke algebras and complex reflection groups

2000 - 2001 Research on the representations of cyclotomic Hecke algebras and finite algebraic groups of classical type

2000 - 2001 Representation theory of Algebraic Groups and Quantum Groups

1998 - 2000 Representation theory of finite algebraic groups

1998 - 1999 STUDY OF CONTROL THEORY FROM MATHEMATICAL VIEW POINT

1997 - 1998 Research of Representation Theory and Combinatorial Analysis and its applications to analytical and algebraical Number Theory

1997 - 1998 Representation theory and combinatorics of classical groups, quantum groups and Hecke algebras

1996 - 1996 古典群,量子群,ヘッケ環の表現論と組合せ論

1994 - 1994 古典群、量子群、ヘッケ環の表現論と組み合せ論

1993 - 1993 古典群、量子群、ヘッケ環の表現論と組合せ論

1992 - 1992 代数幾何・表現論・組み合せ論の研究と整数論への応用

1991 - 1991 関数解析的諸問題の、位相的・代数的手法による研究と、工学上の問題への応用

代数群・ヘッケ環・量子群の表現に関する研究

Study on the representation theories of algebraic groups, Hecke algebras and quantum groups

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Papers (46)：

Susumu Ariki. Tame block algebras of Hecke algebras of classical type. Journal of the Australian Mathematical Society. 2021. 111. 2. 179-201
Susumu Ariki. On cyclotomic quiver Hecke algebras of affine type. Ring Theory 2019. 2021. 3-22
S. Ariki, R. Kase, K. Miyamoto, K. Wada. Self-injective Cellular Algebras Whose Representation Type are Tame of Polynomial Growth. Algebras and Representation Theory. 2020. 23. 3. 833-871
Susumu Ariki, Euiyong Park, Liron Speyer. Specht modules for quiver Hecke algebras of type $C. Publ. RIMS Kyoto Univ. 2019. 55. 565-626
SUSUMU ARIKI, RYOICHI KASE, KENGO MIYAMOTO. ON COMPONENTS OF STABLE AUSLANDER-REITEN QUIVERS THAT CONTAIN HELLER LATTICES: THE CASE OF TRUNCATED POLYNOMIAL RINGS - CORRIGENDUM. Nagoya Mathematical Journal. 2019. 234. 211-216

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MISC (29)：

有木進. 表現論の発想 : Lie理論の世界を超えて (特集代数学における様々な発想). 数理科学. 2015. 53. 4. 38-43
有木進. A(2)2l型箙ヘッケ代数の表現型について (組合せ論的表現論とその周辺 : RIMS研究集会報告集). 数理解析研究所講究録. 2013. 1870. 1870. 98-105
有木進. 表現論と結び目不変量--Khovanov理論の表現論への影響 (特集数学と物理に広がる不変量--量子トポロジーとその周辺). 数理科学. 2009. 47. 10. 31-35
有木進. A型affine Hecke代数の既約加群の同定について (Expansion of combinatorial representation theory). 数理解析研究所講究録. 2009. 1647. 1647. 33-37
有木進. 偶置換と奇置換--非標準的導入と展開 (特集偶奇性にみる数学). 数学セミナー. 2007. 46. 12. 14-19

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Books (4)：

加群からはじめる代数学入門 : 線形代数学から抽象代数学へ
日本評論社 2021 ISBN:9784535789395
Representations of Quantum Algebras and Combinatorics of Young Tableaux
Amer. Math. Soc. University Lecture Series 2002
工学がわかる線形代数
日本評論社 2000
A<sup>(1)</sup><sub>(r-1)</sub>型量子群の表現論と組み合わせ論
上智大学数学講究録 2000

Lectures and oral presentations (61)：

Introduction to the τ -tilting theory for group theorists - the role of Schurian modules and a theorem on Schurian-finiteness
(Character Theory and Categorification, Mathematisches Forschungsinsitut Oberwolfach, Germany 2022)
Modular Lie algebras (I),(II),(III)
(OIST seminar 2022)
Modular representation theory of Hecke algebras
(Representation theory of algebraic groups and quantum groups 2019)
Tame blocks of Hecke algebras
(Algebraic Representation Theory and Related Topics 2019)
Common knowledge on the group algebra of the symmetric group and the Hecke algebra (grading, cellularity, derived equivalence)
(The 64th Symposium on Algebra 2019)

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Works (2)：

有限群と代数群の表現論
1997 - 1999
Representation Theory of Finite and Algebraic Groups
1997 - 1999

Education (3)：

1982 - 1989 The University of Tokyo Graduate School of Science
1980 - 1982 The University of Tokyo Faculty of Science
1978 - 1980 The University of Tokyo College of Arts and Sciences

Professional career (1)：

Doctor of Science (The University of Tokyo)

Work history (14)：

2010/04 - 現在現職
2002/04 - 2010/03 京都大学数理解析研究所准教授
2010/01 - 2010/01 東京大学大学院数理科学研究科非常勤講師(集中講義)
2007/01 - 2007/01 名古屋大学大学院多元数理科学研究科非常勤講師(研究指導)
2005/01 - 2005/01 The University of Sydney (visiting professor)

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Committee career (18)：

2016 - 現在国際会議「Conference on Algebraic Representation Theory」組織委員
2013/04 - 2023/03 日本数学会代数学分科会運営委員
2015/04 - 2019/03 日本数学会代数学賞委員会委員
2015/04 - 2017/03 日本学術振興会科研費(分野:数物系科学, 分科:数学, 細目:代数学)審査委員
2006/04 - 2015/03 日本数学会「数学メモアール」編集委員

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Awards (1)：

2003 - 日本数学会学会賞秋季賞

Association Membership(s) (4)：

電子情報通信学会 , 計測自動制御学会 , 日本数学会 , American Mathematical Society

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