Isomorphisms between affine Hecke algebras of type (A2)over tilde

被引：4
|
作者：
Yan, Rong [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2010年 / 324卷 / 05期
关键词：
Affine Hecke algebra; Quotient algebra; Isomorphism; Two-sided cell; Based ring; REPRESENTATIONS;
D O I：
10.1016/j.jalgebra.2010.03.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that two affine Hecke algebras H-p and H-q of type (A(2)) over tilde with nonzero parameters p,q is an element of C are not isomorphic whenever p not equal q and pq not equal 1 (Theorem 3.1). However they are isomorphic locally. More precisely, we prove that the quotient algebras H-s.q and H-t.p are isomorphic provided that N-s.q = N-t.p for type (A(2)) over tilde (Theorem 2.4). (C) 2010 Elsevier Inc. All rights reserved.
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页码：984 / 999
页数：16
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