The representations of cyclotomic BMW algebras

被引:16
作者
Rui, Hebing [1 ]
Xu, Jie [1 ]
机构
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
关键词
HECKE ALGEBRAS; SIMPLE MODULES;
D O I
10.1016/j.jpaa.2009.04.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we classify the irreducible B-r.n-modules over a field. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:2262 / 2288
页数:27
相关论文
共 50 条
[41]   Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials [J].
Sahi, Siddhartha ;
Stokman, Jasper V. ;
Venkateswaran, Vidya .
SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (03)
[42]   On Refined Bruhat Decompositions and Endomorphism Algebras of Gelfand-Graev Representations [J].
Paolini, Alessandro ;
Simion, Iulian I. .
ALGEBRAS AND REPRESENTATION THEORY, 2020, 23 (04) :1243-1263
[43]   RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity [J].
Foda, O ;
Leclerc, B ;
Okado, M ;
Thibon, JY ;
Welsh, TA .
LETTERS IN MATHEMATICAL PHYSICS, 1998, 43 (01) :31-42
[44]   Representations of Khovanov-Lauda-Rouquier algebras III: symmetric affine type [J].
McNamara, Peter J. .
MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) :243-286
[45]   ON REPRESENTATIONS OF REDUCTIVE p-ADIC GROUPS OVER Q-ALGEBRAS [J].
Muic, Goran .
GLASNIK MATEMATICKI, 2020, 55 (02) :203-235
[46]   Graded irreducible representations of Leavitt path algebras: A new type and complete classification [J].
Vas, Lia .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (03)
[47]   REPRESENTATIONS OF ORIENTIFOLD KHOVANOV-LAUDA-ROUQUIER ALGEBRAS AND THE ENOMOTO-KASHIWARA ALGEBRA [J].
Przezdziecki, Tomasz .
PACIFIC JOURNAL OF MATHEMATICS, 2023, 322 (02) :408-441
[48]   REPRESENTATIONS OF FINITE-DIMENSIONAL QUOTIENT ALGEBRAS OF THE 3-STRING BRAID GROUP [J].
Pyatov, Pavel ;
Trofimova, Anastasia .
MOSCOW MATHEMATICAL JOURNAL, 2021, 21 (02) :427-442
[49]   CYCLOTOMIC CARTER-PAYNE HOMOMORPHISMS [J].
Lyle, Sinead ;
Mathas, Andrew .
REPRESENTATION THEORY, 2014, 18 :117-154
[50]   Representations of weakly triangular categories [J].
Gao, Mengmeng ;
Rui, Hebing ;
Song, Linliang .
JOURNAL OF ALGEBRA, 2023, 614 :481-534