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## Ariki, Susumu

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 Author ID: ariki.susumu Published as: Ariki, S.; Ariki, Susumu
 Documents Indexed: 50 Publications since 1986, including 4 Books
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#### Co-Authors

 25 single-authored 5 Park, Euiyong 4 Mathas, Andrew 4 Yamada, Hirofumi 3 Jacon, Nicolas 2 Kase, Ryoichi 2 Lecouvey, Cédric 2 Miyamoto, Kengo 2 Nakajima, Tatsuhiro 2 Terasoma, Tomohide 1 Iijima, Kazuto 1 Koike, Kazuhiko 1 Kreiman, Victor 1 Matsuzawa, Jun-ichi 1 Nakajima, Hiraku 1 Okado, Masato 1 Rui, Hebing 1 Saito, Yoshihisa 1 Shinoda, Kenichi 1 Shoji, Toshiaki 1 Speyer, Liron 1 Tanisaki, Toshiyuki 1 Terada, Itaru 1 Tsuchioka, Shunsuke
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#### Serials

 5 Advances in Mathematics 5 Journal of Algebra 3 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 RIMS Kokyuroku 1 Hiroshima Mathematical Journal 1 Journal of the Faculty of Science. Section I A 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Sugaku Expositions 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Journal of Mathematical Sciences. University of Tokyo 1 Contemporary Mathematics 1 University Lecture Series 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 36 Group theory and generalizations (20-XX) 21 Associative rings and algebras (16-XX) 21 Nonassociative rings and algebras (17-XX) 17 Combinatorics (05-XX) 6 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

36 Publications have been cited 776 times in 409 Documents Cited by Year
A Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n$$ and construction of its irreducible representations. Zbl 0840.20007
Ariki, Susumu; Koike, Kazuhiko
1994
On the decomposition numbers of the Hecke algebra of $$G(m,1,n)$$. Zbl 0888.20011
Ariki, Susumu
1996
The number of simple modules of the Hecke algebras of type $$G(r,1,n)$$. Zbl 0955.20003
Ariki, Susumu; Mathas, Andrew
2000
On the classification of simple modules for cyclotomic Hecke algebras of type $$G(m,1,n)$$ and Kleshchev multipartitions. Zbl 1005.20007
Ariki, Susumu
2001
Representations of quantum algebras and combinatorics of Young tableaux. Transl. from the Japanese and revised from the author. Zbl 1003.17008
Ariki, Susumu
2002
Cyclotomic Nazarov-Wenzl algebras. Zbl 1159.20008
Ariki, Susumu; Mathas, Andrew; Rui, Hebing
2006
Representation theory of a Hecke algebra of $$G(r,p,n)$$. Zbl 0845.20030
Ariki, Susumu
1995
On the semi-simplicity of the Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n$$. Zbl 0833.16009
Ariki, Susumu
1994
Robinson-Schensted correspondence and left cells. Zbl 0986.05097
Ariki, Susumu
2000
Cyclotomic $$q$$-Schur algebras as quotients of quantum algebras. Zbl 0972.17011
Ariki, Susumu
1999
On the tensor product of two basic representations of $$U_v(\hat s l_e)$$. Zbl 1205.17023
Ariki, Susumu; Kreiman, Victor; Tsuchioka, Shunsuke
2008
Proof of the modular branching rule for cyclotomic Hecke algebras. Zbl 1130.20005
Ariki, Susumu
2006
Schur-Weyl reciprocity for the Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n$$. Zbl 0841.20016
Ariki, Susumu; Terasoma, Tomohide; Yamada, Hirofumi
1995
Dipper-James-Murphy’s conjecture for Hecke algebras of type $$B_n$$. Zbl 1268.17013
Ariki, Susumu; Jacon, Nicolas
2010
Lectures on cyclotomic Hecke algebras. Zbl 1060.20008
Ariki, Susumu
2001
Representation type of finite quiver Hecke algebras of type $$A^{(1)}_{\ell}$$ for arbitrary parameters. Zbl 1361.20010
Ariki, Susumu; Iijima, Kazuto; Park, Euiyong
2015
The representation type of Hecke algebras of type $$B$$. Zbl 1065.20007
Ariki, Susumu; Mathas, Andrew
2005
Higher Specht polynomials. Zbl 0886.20009
Ariki, Susumu; Terasoma, Tomohide; Yamada, Hiro-Fumi
1997
Hecke algebras of classical type and their representation type. Zbl 1091.20003
Ariki, Susumu
2005
Representation type of finite quiver Hecke algebras of type $$D^{(2)}_{\ell +1}$$. Zbl 1395.16008
Ariki, Susumu; Park, Euiyong
2016
Representation type of finite quiver Hecke algebras of type $$A_{2\ell}^{(2)}$$. Zbl 1301.20004
Ariki, Susumu; Park, Euiyong
2014
On components of stable Auslander-Reiten quivers that contain Heller lattices: the case of truncated polynomial rings. Zbl 1426.16011
Ariki, Susumu; Kase, Ryoichi; Miyamoto, Kengo
2017
Representation type of finite quiver Hecke algebras of type $$C^{(1)}_{l}$$. Zbl 1381.16011
Ariki, Susumu; Park, Euiyong
2016
The modular branching rule for affine Hecke algebras of type $$A$$. Zbl 1243.20003
Ariki, Susumu; Jacon, Nicolas; Lecouvey, Cédric
2011
Factorization of the canonical bases for higher-level Fock spaces. Zbl 1264.17009
Ariki, Susumu; Jacon, Nicolas; Lecouvey, Cédric
2012
Modular representation theory of Hecke algebras, a survey. Zbl 1171.20300
Ariki, Susumu
2005
Reduced Schur functions and the Littlewood-Richardson coefficients. Zbl 0929.05086
Ariki, Susumu; Nakajima, Tatsuhiro; Yamada, Hiro-Fumi
1999
Modular representations of Hecke algebras of classical type. Zbl 1230.20004
Ariki, Susumu
2007
Representations over quantum algebras of type $$A_{r-1}^{(1)}$$. Zbl 1067.17506
Ariki, Susumu
2000
Generic pole assignment via dynamic feedback. Zbl 0924.93013
Ariki, Susumu
1998
Weight vectors of the basic $$A_ 1^{(1)}$$-module and the Littlewood-Richardson rule. Zbl 0858.17020
Ariki, Susumu; Nakajima, Tatsuhiro; Yamada, Hiro-Fumi
1995
Representations of Weyl groups on zero weight spaces of $$\mathfrak g$$-modules. Zbl 0800.22001
Ariki, Susumu; Matsuzawa, Jun-ichi; Terada, Itaru
1986
Specht modules for quiver Hecke algebras of type $$C$$. Zbl 1448.16016
Ariki, Susumu; Park, Euiyong; Speyer, Liron
2019
Finite dimensional Hecke algebras. Zbl 1202.20007
Ariki, Susumu
2008
Corrigendum: Hecke algebras of classical type and their representation type. Zbl 1153.20300
Ariki, Susumu
2006
Hecke algebras with a finite number of indecomposable modules. Zbl 1067.20006
Ariki, Susumu; Mathas, Andrew
2004
Specht modules for quiver Hecke algebras of type $$C$$. Zbl 1448.16016
Ariki, Susumu; Park, Euiyong; Speyer, Liron
2019
On components of stable Auslander-Reiten quivers that contain Heller lattices: the case of truncated polynomial rings. Zbl 1426.16011
Ariki, Susumu; Kase, Ryoichi; Miyamoto, Kengo
2017
Representation type of finite quiver Hecke algebras of type $$D^{(2)}_{\ell +1}$$. Zbl 1395.16008
Ariki, Susumu; Park, Euiyong
2016
Representation type of finite quiver Hecke algebras of type $$C^{(1)}_{l}$$. Zbl 1381.16011
Ariki, Susumu; Park, Euiyong
2016
Representation type of finite quiver Hecke algebras of type $$A^{(1)}_{\ell}$$ for arbitrary parameters. Zbl 1361.20010
Ariki, Susumu; Iijima, Kazuto; Park, Euiyong
2015
Representation type of finite quiver Hecke algebras of type $$A_{2\ell}^{(2)}$$. Zbl 1301.20004
Ariki, Susumu; Park, Euiyong
2014
Factorization of the canonical bases for higher-level Fock spaces. Zbl 1264.17009
Ariki, Susumu; Jacon, Nicolas; Lecouvey, Cédric
2012
The modular branching rule for affine Hecke algebras of type $$A$$. Zbl 1243.20003
Ariki, Susumu; Jacon, Nicolas; Lecouvey, Cédric
2011
Dipper-James-Murphy’s conjecture for Hecke algebras of type $$B_n$$. Zbl 1268.17013
Ariki, Susumu; Jacon, Nicolas
2010
On the tensor product of two basic representations of $$U_v(\hat s l_e)$$. Zbl 1205.17023
Ariki, Susumu; Kreiman, Victor; Tsuchioka, Shunsuke
2008
Finite dimensional Hecke algebras. Zbl 1202.20007
Ariki, Susumu
2008
Modular representations of Hecke algebras of classical type. Zbl 1230.20004
Ariki, Susumu
2007
Cyclotomic Nazarov-Wenzl algebras. Zbl 1159.20008
Ariki, Susumu; Mathas, Andrew; Rui, Hebing
2006
Proof of the modular branching rule for cyclotomic Hecke algebras. Zbl 1130.20005
Ariki, Susumu
2006
Corrigendum: Hecke algebras of classical type and their representation type. Zbl 1153.20300
Ariki, Susumu
2006
The representation type of Hecke algebras of type $$B$$. Zbl 1065.20007
Ariki, Susumu; Mathas, Andrew
2005
Hecke algebras of classical type and their representation type. Zbl 1091.20003
Ariki, Susumu
2005
Modular representation theory of Hecke algebras, a survey. Zbl 1171.20300
Ariki, Susumu
2005
Hecke algebras with a finite number of indecomposable modules. Zbl 1067.20006
Ariki, Susumu; Mathas, Andrew
2004
Representations of quantum algebras and combinatorics of Young tableaux. Transl. from the Japanese and revised from the author. Zbl 1003.17008
Ariki, Susumu
2002
On the classification of simple modules for cyclotomic Hecke algebras of type $$G(m,1,n)$$ and Kleshchev multipartitions. Zbl 1005.20007
Ariki, Susumu
2001
Lectures on cyclotomic Hecke algebras. Zbl 1060.20008
Ariki, Susumu
2001
The number of simple modules of the Hecke algebras of type $$G(r,1,n)$$. Zbl 0955.20003
Ariki, Susumu; Mathas, Andrew
2000
Robinson-Schensted correspondence and left cells. Zbl 0986.05097
Ariki, Susumu
2000
Representations over quantum algebras of type $$A_{r-1}^{(1)}$$. Zbl 1067.17506
Ariki, Susumu
2000
Cyclotomic $$q$$-Schur algebras as quotients of quantum algebras. Zbl 0972.17011
Ariki, Susumu
1999
Reduced Schur functions and the Littlewood-Richardson coefficients. Zbl 0929.05086
Ariki, Susumu; Nakajima, Tatsuhiro; Yamada, Hiro-Fumi
1999
Generic pole assignment via dynamic feedback. Zbl 0924.93013
Ariki, Susumu
1998
Higher Specht polynomials. Zbl 0886.20009
Ariki, Susumu; Terasoma, Tomohide; Yamada, Hiro-Fumi
1997
On the decomposition numbers of the Hecke algebra of $$G(m,1,n)$$. Zbl 0888.20011
Ariki, Susumu
1996
Representation theory of a Hecke algebra of $$G(r,p,n)$$. Zbl 0845.20030
Ariki, Susumu
1995
Schur-Weyl reciprocity for the Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n$$. Zbl 0841.20016
Ariki, Susumu; Terasoma, Tomohide; Yamada, Hirofumi
1995
Weight vectors of the basic $$A_ 1^{(1)}$$-module and the Littlewood-Richardson rule. Zbl 0858.17020
Ariki, Susumu; Nakajima, Tatsuhiro; Yamada, Hiro-Fumi
1995
A Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n$$ and construction of its irreducible representations. Zbl 0840.20007
Ariki, Susumu; Koike, Kazuhiko
1994
On the semi-simplicity of the Hecke algebra of $$(\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n$$. Zbl 0833.16009
Ariki, Susumu
1994
Representations of Weyl groups on zero weight spaces of $$\mathfrak g$$-modules. Zbl 0800.22001
Ariki, Susumu; Matsuzawa, Jun-ichi; Terada, Itaru
1986
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#### Cited by 307 Authors

 21 Hu, Jun 21 Rui, Hebing 17 Fayers, Matthew 17 Jacon, Nicolas 15 Mathas, Andrew 11 Ariki, Susumu 11 Brundan, Jonathan 11 Goodman, Frederick M. 10 Kleshchev, Alexander S. 9 Geck, Meinolf 9 Ryom-Hansen, Steen 8 Chlouveraki, Maria 8 Kashiwara, Masaki 8 Marin, Ivan 7 Miyachi, Hyohe 7 Ram, Arun 7 Vasserot, Eric 6 Khovanov, Mikhail G. 6 Leclerc, Bernard 6 Lyle, Sinéad 6 Park, Euiyong 6 Stroppel, Catharina H. 6 Tan, Kai Meng 6 Wada, Kentaro 5 Chuang, Joseph 5 Gerber, Thomas 5 Iancu, Lăcrimioara 5 Shoji, Toshiaki 5 Si, Mei 5 Song, Linliang 5 Speyer, Liron 5 Varagnolo, Michela 5 Vazirani, Monica J. 4 Chavli, Eirini 4 Du, Jie 4 Graham, John J. 4 Häring-Oldenburg, Reinhard 4 Lauda, Aaron D. 4 Lecouvey, Cédric 4 Malle, Gunter 4 Oh, Se-jin 4 Poulain D’Andecy, Loïc 4 Tsuchioka, Shunsuke 4 Webster, Ben 3 Bonnafé, Cédric 3 Bowman, Christopher David 3 Cui, Weideng 3 Daugherty, Zajj 3 Fu, Qiang 3 Halverson, Thomas 3 James, Gordon D. 3 Kang, Seok-Jin 3 Kim, Myungho 3 Kujawa, Jonathan R. 3 Li, Yanbo 3 Losev, Ivan V. 3 Martin, Paul Purdon 3 Mcdonough, T. P. 3 Miemietz, Vanessa 3 Ogievetsky, Oleg V. 3 Pallikaros, Christos A. 3 Rostam, Salim 3 Savage, Alistair 3 Schiffmann, Olivier G. 3 Shepler, Anne V. 3 Sutton, Louise 3 Zhao, Deke 2 Andersen, Henning Haahr 2 Benkart, Georgia M. 2 Boura, Christina 2 Broué, Michel 2 Cox, Anton 2 Deng, Bangming 2 Enomoto, Naoya 2 Erdmann, Karin 2 Evseev, Anton 2 Geetha, T. V. 2 Graber, John 2 Guay, Nicolas 2 Hauschild Mosley, Holly 2 Hemmer, David J. 2 Hivert, Florent 2 Hohlweg, Christophe 2 Iijima, Kazuto 2 Jensen, Lars Thorge 2 Kato, Syu 2 Kim, Sungsoon 2 König, Steffen 2 Lehrer, Gustav Isaac 2 Leidwanger, Séverine 2 Mak, Chi Kin 2 Mazorchuk, Volodymyr 2 Michel, Jean 2 Mínguez, Alberto 2 Mitsuhashi, Hideo 2 Miyamoto, Kengo 2 Mizukawa, Hiroshi 2 Moon, Dongho 2 Müller, Jürgen 2 Nguyen Van Minh ...and 207 more Authors
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#### Cited in 78 Serials

 116 Journal of Algebra 31 Advances in Mathematics 20 Representation Theory 19 Journal of Pure and Applied Algebra 19 Journal of Algebraic Combinatorics 18 Transactions of the American Mathematical Society 18 Algebras and Representation Theory 12 Communications in Algebra 9 Mathematische Zeitschrift 7 Duke Mathematical Journal 7 Selecta Mathematica. New Series 6 Inventiones Mathematicae 6 Transformation Groups 5 Osaka Journal of Mathematics 5 Journal of Knot Theory and its Ramifications 5 Algebraic Combinatorics 4 Nagoya Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Indagationes Mathematicae. New Series 3 Letters in Mathematical Physics 3 Journal of Combinatorial Theory. Series A 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Proceedings of the Japan Academy. Series A 3 Forum of Mathematics, Sigma 2 Israel Journal of Mathematics 2 Beiträge zur Algebra und Geometrie 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Journal of Symbolic Computation 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Annals of Combinatorics 2 LMS Journal of Computation and Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Frontiers of Mathematics in China 2 Quantum Topology 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Journal of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Journal of Statistical Mechanics: Theory and Experiment 1 Oberwolfach Reports 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Afrika Matematika 1 Arnold Mathematical Journal
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#### Cited in 27 Fields

 331 Group theory and generalizations (20-XX) 161 Combinatorics (05-XX) 147 Nonassociative rings and algebras (17-XX) 122 Associative rings and algebras (16-XX) 24 Quantum theory (81-XX) 17 Category theory; homological algebra (18-XX) 15 Algebraic geometry (14-XX) 14 Manifolds and cell complexes (57-XX) 9 Special functions (33-XX) 8 Commutative algebra (13-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 4 $$K$$-theory (19-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX)