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Ariki Susumu

有木 進

Graduate School of Information Science and Technology Department of Pure and Applied Mathematics, Professor

keyword Representation Theory

Education

  • - 1989, The University of Tokyo, 理学系研究科, 数学
  • - 1989, The University of Tokyo, Graduate School, Division of Science
  • - 1982, The University of Tokyo, Faculty of Science, 数学
  • - 1982, The University of Tokyo, Faculty of Science

Research History

  • 2010 - Present, 現職
  • 2010 - Present, - Current position
  • 2002 - 2010, Research Institute for Mathematical Sciences, Kyoto University, Associate Professor
  • 2002 - 2010, - 京都大学数理解析研究所准教授
  • 1990 - 2002, Tokyo University of Mercantile Marine
  • 1990 - 2002, Tokyo University of Mercantile Marine, Associate Professor
  • 1989 - 1990, Tokyo University of Mercantile Marine
  • 1989 - 1990, Tokyo University of Mercantile Marine, Lecturer

Research Areas

  • Natural sciences, Algebra
  • Natural sciences, Algebra

Professional Memberships

  • アメリカ数学会
  • 電子情報通信学会
  • 計測自動制御学会
  • 日本数学会
  • American Mathematical Society
  • Mathematical Society of Japan

Papers

  • On cyclotomic quiver Hecke algebras of affine type, Susumu Ariki, Ring Theory 2019, p. 3-22, 2021/01
  • Self-injective Cellular Algebras Whose Representation Type are Tame of Polynomial Growth, S. Ariki,R. Kase,K. Miyamoto,K. Wada, Algebras and Representation Theory, Springer Science and Business Media LLC, Vol. 23, No. 3, p. 833-871, 2020/06
  • Specht modules for quiver Hecke algebras of type $C$, Susumu Ariki,Euiyong Park,Liron Speyer, Publ. RIMS Kyoto Univ., Vol. 55, p. 1-70, 2019
  • Tame block algebras of Hecke algebras of classical type, Susumu Ariki, 2018/05
  • On components of stable auslander-reiten quivers that contain heller lattices: The case of truncated polynomial rings, Susumu Ariki,Ryoichi Kase,Kengo Miyamoto, Nagoya Mathematical Journal, Cambridge University Press, Vol. 228, p. 72-113, 2017/12/01
  • Representation type for block algebras of Hecke algebras of classical type, Susumu Ariki, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 317, p. 823-845, 2017/09
  • REPRESENTATION TYPE OF FINITE QUIVER HECKE ALGEBRAS OF TYPE Dl+1((2)), Susumu Ariki,Euiyong Park, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, AMER MATHEMATICAL SOC, Vol. 368, No. 5, p. 3211-3242, 2016/05
  • REPRESENTATION TYPE OF FINITE QUIVER HECKE ALGEBRAS OF TYPE C-l((1)), Susumu Ariki,Euiyong Park, OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, Vol. 53, No. 2, p. 463-488, 2016/04
  • Representation Type of Finite Quiver Hecke Algebras of Type A(l)((1)) for Arbitrary Parameters, Susumu Ariki,Kazuto Iijima,Euiyong Park, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, OXFORD UNIV PRESS, Vol. IMRN 2015, No. 15, p. 6070-6135, 2015
  • Representation type of finite quiver Hecke algebras of type A(2l)((2)), Susumu Ariki,Euiyong Park, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 397, p. 457-488, 2014/01
  • FACTORIZATION OF THE CANONICAL BASES FOR HIGHER-LEVEL FOCK SPACES, Susumu Ariki,Nicolas Jacon,Cedric Lecouvey, PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, CAMBRIDGE UNIV PRESS, Vol. 55, No. 1, p. 23-51, 2012/02
  • The modular branching rule for affine Hecke algebras of type A, Susumu Ariki,Nicolas Jacon,Cedric Lecouvey, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 228, No. 1, p. 481-526, 2011/09
  • Dipper-James-Murphy's Conjecture for Hecke Algebras of Type B-n, Susumu Ariki,Nicolas Jacon, REPRESENTATION THEORY OF ALGEBRAIC GROUPS AND QUANTUM GROUPS, BIRKHAUSER VERLAG AG, Vol. 284, p. 17-+, 2010
  • On the tensor product of two basic representations of U-v((s)over-capl(e)), Susumu Ariki,Victor Kreiman,Shunsuke Tsuchioka, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 218, No. 1, p. 28-86, 2008/05
  • On the tensor product of two basic representations of U-v((s)over-capl(e)), Susumu Ariki,Victor Kreiman,Shunsuke Tsuchioka, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 218, No. 1, p. 28-86, 2008/05
  • Finite dimensional Hecke algebras, Susumu Ariki, Trends in representation theory of algebras and related topics, EMS Ser. Congr. Rep., Eur. Math. Soc., p. 1-48, 2008
  • Modular representations of Hecke algebras of classical type, Susumu Ariki, Sugaku Expositions, Vol. 20, No. 1, p. 15-41, 2007
  • Proof of the modular branching rule for cyclotomic Hecke algebras, Susumu Ariki, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 306, No. 1, p. 290-300, 2006/12
  • Cyclotomic Nazarov-Wenzl algebras, Susumu Ariki,Andrew Mathas,Hebing Rui, NAGOYA MATHEMATICAL JOURNAL, NAGOYA UNIV, Vol. 182, p. 47-134, 2006/06
  • Hecke algebras of classical type and their representation type, S Ariki, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, LONDON MATH SOC, Vol. 91, No. 2, p. 355-413, 2005/09
  • Modular representation theory of Hecke algebras, a. survey, S Ariki, Infinite-Dimensional Aspects of Representation Theory and Applications, AMER MATHEMATICAL SOC, Vol. 392, p. 1-14, 2005
  • 古典型Hecke環のモジュラー表現, 有木 進, 数学, 一般社団法人 日本数学会, Vol. 56-2,113-136, No. 2, p. 113-136, 2004/04
  • Hecke algebras with a finite number of indecomposable modules, Susumu Ariki,Andrew Mathas, Adv. Stud. Pure. Math., Vol. 40, p. 17-25, 2004
  • The representation type of Hecke algebras of type B, S Ariki,A Mathas, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 181, No. 1, p. 134-159, 2004/01
  • On tameness of the Hecke algebras of type B, ARIKI Susumu, Combinatorial and geometric representation theory, Vol. 325, p. 11-30, 2003
  • Uno's conjecture on representation types of Hecke algebras, Susumu Ariki, Algebraic combinatorics and quantum groups, World Sci. Publ., p. 1-9, 2003
  • On the classification of simple modules for cyclotomic Hecke algebras of type G(m, 1, n) and Kleshchev multipartitions, S Ariki, OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, Vol. 38, No. 4, p. 827-837, 2001/12
  • Lectures on cyclotomic Hecke algebras, Susumu Ariki, Quantum groups and Lie theory, London Math. Soc. Lecture Note Ser., Vol. 290, p. 1-22, 2001
  • Some Remarks on A^(1)_1 Soliton Cellular Automata, Ariki Susumu, Journal of mathematical sciences, the University of Tokyo, Graduate School of Mathematical Sciences, The University of Tokyo, Vol. 8, No. 1, p. 143-156, 2001
  • The number of simple modules of the Hecke algebras of type G (r, 1, n), S Ariki,A Mathas, MATHEMATISCHE ZEITSCHRIFT, SPRINGER VERLAG, Vol. 233, No. 3, p. 601-623, 2000/03
  • Robinson-Schensted correspondence and left cells, S Ariki, COMBINATORIAL METHODS IN REPRESENTATION THEORY, KINOKUNIYA CO LTD, Vol. 28, p. 1-20, 2000
  • Cyclotomic q-Schur algebras as quotients of quantum algebras, S Ariki, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, WALTER DE GRUYTER & CO, Vol. 513, p. 53-69, 1999/08
  • Reduced Schur functions and the Littlewood-Richardson coefficients, S Ariki,T Nakajima,HF Yamada, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, LONDON MATH SOC, Vol. 59, No. 2, p. 396-406, 1999/04
  • Generic pole assignment via dynamic feedback, S Ariki, SIAM JOURNAL ON CONTROL AND OPTIMIZATION, SIAM PUBLICATIONS, Vol. 36, No. 1, p. 379-390, 1998/01
  • Higher Specht polynomials, ARIKI Susumu,TERASOMA Tomohide,YAMADA Hiro-Fumi, Hiroshima mathematical journal, Hiroshima University, Vol. 27, No. 1, p. 177-188, 1997/03
  • q-analogue of a twisted group ring, S Ariki, FINITE REDUCTIVE GROUPS: RELATED STRUCTURES AND REPRESENTATIONS, BIRKHAUSER BOSTON, Vol. 141, p. 1-13, 1997
  • On the decomposition numbers of the Hecke algebra of G(m,1,n), S Ariki, JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, DUKE UNIV PRESS, Vol. 36, No. 4, p. 789-808, 1996/12
  • A new system invariant and an algebraic proof of the standard H-infinity problem, S Ariki, PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, I E E E, p. 2342-2343, 1996
  • Schur-Weyl reciprocity for the hecke algebra of (Z/rZ) [wreath product] Sn, Susumu Ariki,Tomohide Terasoma,Hirofumi Yamada, Journal of Algebra, Vol. 178, No. 2, p. 374-390, 1995/12/01
  • SCHUR-WEYL RECIPROCITY FOR THE HECKE ALGEBRA OF (Z/RZ)BACKSLASH G(N), S ARIKI,T TERASOMA,H YAMADA, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 178, No. 2, p. 374-390, 1995/12
  • REPRESENTATION-THEORY OF A HECKE ALGEBRA OF G(R, P, N), S ARIKI, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 177, No. 1, p. 164-185, 1995/10
  • Weight vectors of the basic A1(1)-module and the Littlewood-Richardson rule, S. Ariki,T. Nakajima,H. F. Yamada, Journal of Physics A: Mathematical and General, Vol. 28, No. 13, p. L357-L361, 1995
  • ON THE SEMI-SIMPLICITY OF THE HECKE ALGEBRA OF (Z/RZ)INTEGRAL-G(N), S ARIKI, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 169, No. 1, p. 216-225, 1994/10
  • A HECKE ALGEBRA OF (Z/RZ)/S(N) AND CONSTRUCTION OF ITS IRREDUCIBLE REPRESENTATIONS, S ARIKI,K KOIKE, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 106, No. 2, p. 216-243, 1994/07
  • A decomposition of the adjoint representation of Uq(sl<sub>2</sub>), Susumu Ariki, Journal of the Faculty of Science, the University of Tokyo Sec, IA, Vol. 40, No. 1, p. 141-159, 1993
  • On the Representations of the Weyl Groups of Type D Corresponding to the Zero Weights of the Representations of SO(2n, C), Proceedings of Symposia in Pure Math., Vol. 47,327-342, 1987
  • Representations of Weyl Groups on Zero Weight Spaces of g-Modules(with J.Matsuzawa and I.Terada), Algebraic and Topological Theories, Vol. ,546-568, 1985

Misc.

  • 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), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 1870, p. 98-105, 2013/12
  • 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), 有木 進, 数理科学, サイエンス社, Vol. 47, No. 10, p. 31-35, 2009/10
  • A型affine Hecke代数の既約加群の同定について (Expansion of combinatorial representation theory), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 1647, p. 33-37, 2009/05
  • 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), 有木 進, 数学セミナー, 日本評論社, Vol. 46, No. 12, p. 14-19, 2007/12
  • ヤング図形と組合せ論・表現論 (ヤング図形で遊ぶ物理と数学--イメージ力を鍛える), 有木 進, 数理科学, サイエンス社, Vol. 45, No. 1, p. 21-26, 2007/01
  • Hecke algebras of classical type and their representation type (vol 91, pg 355, 2005), S Ariki, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, LONDON MATH SOC, Vol. 92, p. 342-344, 2006/03
  • 巡回 Nazarov-Wenzl 代数のセル基底の構成(代数的組合せ論とその周辺), 有木 進, 数理解析研究所講究録, 京都大学, Vol. 1476, p. 145-151, 2006/03
  • 書評 有本卓:数学は工学の期待に応えられるのか, 有木 進, 数学, 日本数学会, Vol. 57, No. 4, p. 429-432, 2005/10
  • The representation type of Hecke algebras of type B (vol 181, pg 134, 2004), S Ariki,A Mathas, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 192, No. 1, p. 228-230, 2005/03
  • 古典型Hecke環の表現型の決定 (組合せ論的表現論の諸相 研究集会報告集), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 1382, p. 74-79, 2004/06
  • 古典型ヘッケ環の表現型について (非可換代数系の表現と調和解析研究集会報告集), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 1294, p. 1-7, 2002/11
  • 組み合わせ論とクリスタル (離散可積分系の研究の進展--超離散化・量子化), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 1221, p. 103-111, 2001/07
  • ヘッケ環の表現型について, 表現論シンポジウム講演集, Vol. 98-111, 2001
  • 組み合わせ論とクリスタル, 京都大学数理解析研究所講究録, Vol. 1221,103-111, 2001
  • 工学につながる線形代数を (特集 これからの線形代数) -- (これからの線形代数), 有木 進, 数学セミナ-, 日本評論社, Vol. 39, No. 6, p. 29-33, 2000/06
  • Specht modules and Kleshchev multipartitions, Susumu Ariki, Proceedings of Representation Theory of Finite and Algebraic Groups, p. 217-224, 2000
  • ヘッケ環のモジュラー表現論, 有限群、代数群の表現論ワークショップ報告集, Vol. 18-29, 2000
  • 代数的数を数える (特集 無限をかぞえる), 有木 進, 数学セミナ-, 日本評論社, Vol. 38, No. 9, p. 32-35, 1999/09
  • Cyclotomic q-Schur algebras as quotients of quantum algebras, Ariki Susumu, Journal of the Tokyo University of Mercanile Marine. Natural sciences, Tokyo University of Marine Science and Technology, No. 49, p. 11-27, 1998/12
  • Decompostition numbers of a Hecke algebra and the representations of quantum groups, The 41<sup>st</sup> Symposium on Algebra, Vol. , 122-142, 1996
  • 複素鏡映群のヘッケ環の表現論について, 表現論シンポジウム講演集, Vol. 53-82, 1996
  • Decompostition numbers of a Hecke algebra and the representations of quantum groups, The 41<sup>st</sup> Symposium on Algebra, Vol. ,122-142, 1996
  • $U_q(\mathfrak{sl}_2)$のもうひとつの随伴表現の分解について(代数的組合せ論), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 768, p. 142-145, 1991/11
  • A decomposition of the adjoint representation of $U_q(\mathfrak{sl}_2)$(Combinatorial Aspects in Representation Theory and Geometry), ARIKI SUSUMU, RIMS Kokyuroku, Kyoto University, No. 765, p. 66-70, 1991/08
  • A decomposition of the adjoint representation of $U_q(\mathfrak{sl}_2)$ (Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups), ARIKI SUSUMU, RIMS Kokyuroku, Kyoto University, No. 761, p. 144-146, 1991/07
  • Uq(sl<sub>2</sub>)のもう1つの随伴表現の分解について, 京都大学数理解析研究所講究録, Vol. 768,142-145, 1991
  • On the degenerate q-Schur algebra and Weyl reciprocity, Ariki Susumu, Journal of the Tokyo University of Mercanile Marine. Natural sciences, 東京海洋大学, Vol. 40,103-107, No. 40, p. p103-107, 1989/12
  • Robinson-Schensted 対応と left cell(量子群とRobinson-Schensted対応), 有木 進, 数理解析研究所講究録, 京都大学数理解析研究所, No. 705, p. 1-27, 1989/11
  • On the Degenerate q-Schur Algebra and Weyl reciprocity, Journal of the Tokyo University of Mercantile Marine(Natural Sciences), Vol. 40, 103-107, 1989
  • Robinson Schensted対応とleft cell, 京都大学数理解析研究所講究録, Vol. 705, p. 1-27, 1989
  • 半順序集合と表現次数(組合せ論とその周辺の研究 : 可換環論・代数幾何・Lie環の表現論と半順序集合の相互関係), 有木 進,中邨 博之,中村 博昭, 数理解析研究所講究録, 京都大学数理解析研究所, No. 641, p. 230-244, 1988/01
  • リー群と表現論, 有木 進,松沢 淳一,徳山 豪, 数学, 一般社団法人 日本数学会, Vol. 39, No. 1, p. 60-63, 1987

Publications

  • Uno's conjecture on representation types of Hecke algebras, Algebraic Combinatorics and Quantum Groups, World Scientific, 2003
  • On tameness of the Hecke algebras of type B, Combinatorial and Geometric Representation Theory, Contemp. Math., 2003
  • Representations of Quantum Algebras and Combinatorics of Young Tableaux, Amer. Math. Soc. University Lecture Series, 2002
  • Representations of Quantum Algebras and Combinatorics of Young Tableaux, Amer. Math. Soc. University Lecture Series, 2002
  • Lectures on Cyclotomic Hecke Algebras, Quantum Groups and Lie Theory, London Math. Soc. Lecture Note Ser., 2001
  • 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
  • Representations over Quantum Algebras of type A<sup>(1)</sup><sub>r-1</sub>, Sophia Kokyuroku in Mathematics, 2000
  • Robinson-Schensted correspondence and left cells, Combinatorial Methods in Representation Theory, Advanced studies in Pure Math, 2000
  • q-Analogue of a Twisted Group Ring, Finte Reductive Groups, Progress in Mathematics(Birkhauser), 1996

Works

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

Awards

  • 日本数学会学会賞秋季賞, 2003
  • Mathematical Society of Japan The Autumn Prize, 2003

Presentations

  • Modular representation theory of Hecke algebras, ARIKI Susumu, Representation theory of algebraic groups and quantum groups, 2019/10/31
  • Tame blocks of Hecke algebras, ARIKI Susumu, Algebraic Representation Theory and Related Topics, 2019/10/07
  • Common knowledge on the group algebra of the symmetric group and the Hecke algebra (grading, cellularity, derived equivalence), ARIKI Susumu, The 64th Symposium on Algebra, 2019/09/03
  • On cyclotomic quiver Hecke algebras of affine type, ARIKI Susumu, The Eighth China - Japan - Korea International Symposium on Ring Theory, 2019/08/31
  • Representation type and decomposition numbers of Hecke algebras, Susumu Ariki, International Conference on Representation Theory VIII, 2019/07/07
  • The RSK correspondence and its variants in the light of crystal graph theory, Susumu Ariki, MPI-INF and MPI-MiS joint workshop on Theoretical Computer Science and Algebraic Geometry, 2019/01/16
  • Lifting Schur positive functions to Kashiwara crystals, Susumu Ariki, SWAN workshop, 2018/09/17
  • Tame block algebras of Hecke algebras of classical type, Susumu Ariki, The international meeting of the C.M.S. and the A.M.S. Special session on Quantum Algebras and Related Topics, 2018/06/13
  • On block algebras of Hecke algebras of classical type, Susumu Ariki, Representation Theory of Symmetric Groups and Related Algebras, 2017/12/20
  • Block algebras of Hecke algebras of classical type, Susumu Ariki, Conference on Algebraic Representation Theory, 2017/11/24
  • 組合せ論的表現論への入門I, II, ARIKI Susumu, 代数学若手研究会, 2017/03/07
  • Representation type for block algebras of Hecke algebras, Susumu Ariki, Conference on Algebraic Representation Theory, 2016/12/04
  • Heller lattices and AR quivers, Susumu Ariki, International Conference for KMS 70th Anniversary, 2016/10/22
  • Representation type for block algebras of Hecke algebras, Susumu Ariki, Geometric Representation Theory (, 2016/10/14
  • Rouquier’s theory of quasi-hereditary covers II, ARIKI Susumu, Summer School on Quasi-hereditary Algebras, 2016/08/30
  • Rouquier’s theory of quasi-hereditary covers I, ARIKI Susumu, Summer School on Quasi-hereditary Algebras, 2016/08/29
  • Symmetric algebras arising from categorification of integrable modules II, ARIKI Susumu, The 48th symposium on Ring Theory and Representation Theory, 2015/09/08
  • Symmetric algebras arising from categorification of integrable modules I, ARIKI Susumu, The 48th symposium on Ring Theory and Representation Theory, 2015/09/07
  • Combinatorics of Hecke algebras, Susumu Ariki, Formal Power Series and Algebraic Combinatorics, 2015/07/10
  • Special biserial algebras in Lie theory, Susumu Ariki, Shanghai Workshop on Representation Theory,, 2014/12/09
  • Erdmann-Nakano type Theorems, Susumu Ariki, ICM Satellite Conference Representation Theory and Related Topics, 2014/08/07
  • On finite quiver Hecke algebras of finite type, Susumu Ariki, Shanghai Workshop on Representation Theory, 2013/12/08
  • On the representation type and other properties of finite quiver Hecke algebras, ARIKI Susumu, RIMS研究集会「組合せ論的表現論の展望」, 2013/10/09
  • Constructing a q.h. cover of a cellular algebra, Susumu Ariki, Mini-Workshop on Combinatorial Representation Theory, 2012/06/11
  • Quasi-hereditary covers of Hecke algebras of type $B_2$, Susumu Ariki, Modular Representations of Symmetric Groups and Related Objects, 2011/04/27
  • Positivity of certain polynomials and relative decomposition matrices, Susumu Ariki, Shanghai Workshop on Representation Theory, 2010/12/11
  • Modular branching rule for the affine Hecke algebra of type A, Susumu Ariki, Interplay between Representation Theory and Geometry, 2010/05/05
  • A型affine Hecke代数の同定について, 有木進, 組合せ論的表現論の拡がり(数理解析研究所・短期共同), 2008/10
  • Simple modules of the affine Hecke algebra of type A, Susumu Ariki, Workshop on Algebras in Lie theory(東京大学丹原国際セミナーハウス), 2008/09
  • Two applications of Littelmann's path model, Susumu Ariki, Lie Theory(MSRI), 2008/03
  • Simple modules of the affine Hecke algebra of type A over C, 有木進, 組合せ論的表現論の拡がり(数理解析研究所・短期共同), 2007/10
  • Modular representation theory of Hecke algebras through categorification and its combinatorialization (I),(II),(III), Susumu Ariki, Categorification, Quantization and Clusters(Morningside center of Mathematics), 2007/09
  • Finite dimensional Hecke algebras (I),(II),(III), Susumu Ariki, ICRA XII (The 12th International Conference on Representations of Algebras), 2007/08
  • Crystal theory and Hecke algebra of type Bn, Susumu Ariki, ICRT IV (The 4th International Conference on Representation Theory), 2007/07
  • On a conjecture by Dipper, James and Murphy, Susumu Ariki, GL07: Geometry and Lie Theory, 2007/07
  • Non-recursive characterization of Kleshchev bipartitions, Susumu Ariki, Representation Theory of Algebraic Groups and Quantum Groups 06, 2006/06
  • Tensor product of two basic representations of Uv(sle), Susumu Ariki, CIRM, Luminy "Affine Hecke Algebras, The Langlands Program, Conformal Field Theory and Matrix Models", 2006/06
  • Irreducible representations of affine Wenzl algebras, Susumu Ariki, TMS-AMS joint meeting (台中市東海大学), 2005/12
  • 巡回 Nazarov-Wenzl 代数のセル基底の構成, 有木進, 代数的組み合わせ論とその周辺(数理解析研究所・短期共同), 2005/10
  • Algebras arising from Schur-Weyl type dualities (I)(II)(III), Susumu Ariki, The 38th Symposium on Ring Theory and Representation Theory, 2005/09
  • 巡回Hecke環,古典型有限群からCherednik代数まで, 有木進, 第50回代数学シンポジウム, 2005/08
  • Cyclotomic Wenzl Algebras, Susumu Ariki, Bernoulli Center, Lausanne, "Algebraic Groups and Finite Reductive Groups", 2005/06
  • Representation type of Hecke algebras, Susumu Ariki, Nilpotent Orbits and Representation Theory (NORTH 6), 2004/09
  • Representation type of Hecke algebras and the Poincare polynomial, Susumu Ariki, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, 2004/07
  • Recent advances in modular representation theory of Hecke algebras (I) (II) (III), Susumu Ariki, Infinite-Dimensional Aspects of Representation Theory and Applications, 2004/05
  • Modular representation theory of Hecke algebras and crystal bases, Susumu Ariki, The second East Asian Conference on Algebra and Combinatorics, 2003/11
  • 古典型ヘッケ環の表現型の決定, 有木進, 組み合わせ論的表現論の諸相 (数理解析研究所・短期共同), 2003/11
  • Recent advances in modular representation theory of Hecke algebras, Susumu Ariki, KIAS international conference on Lie algebras and related topics, 2003/10
  • Hecke環版のLusztig予想, 有木進, 日本数学会秋季総合分科会総合講演, 2003/09
  • Hecke algebras and their representations (I), (II), (III), Susumu Ariki, Representation Theory of Hecke Algebras and Cellular Algebras, Beijing Normal University, 2002/09
  • A tame/wild problem for Hecke algebras of type B, Susumu Ariki, ICRA X, 10th International Conference on Representations of Algebras and related topics, specialized workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory, 2002/08
  • LLT and representation type of Hecke algebras I, II, Susumu Ariki, LMS Durham Symposium on Representations of Finite Groups and Related Algebras, 2002/07
  • ヘッケ環の表現型について, 有木進, Young 図形をめぐる話題と表現論, 数理解析研究所・短期共同, 2001/11
  • Uno's conjecture for Hecke algebras, Susumu Ariki, Combinatorial and Geometric Representation Theory, Seoul National University, 2001/10
  • The representation type of Hecke algebras of type B, Susumu Ariki, Representation Theory of Algebraic Groups and Quantum Groups, Sophia University, 2001/08
  • Level two Fock spaces, two array Maya diagrams and the representation type of Hecke algebra of type B, Susumu Ariki, Representations of Algebraic Groups and Quantum Groups, Kunming, 2001/07
  • Representation types of Hecke algebras of type B, Susumu Ariki, NSF/CBMS Regional Conference on Algebraic Combinatorics, 2001/06
  • A final report on the decomposition numbers of cyclotomic Hecke algebras and future problems I, II, Susumu Ariki, C.I.R.M. Luminy, 2000/10
  • ヘッケ環のモジュラー表現とフォック空間, 有木進, 日本数学会秋季総合分科会・無限可積分系特別講演, 2000/09