The weighted fusion category algebra and the q-Schur algebra for GL2(q)

JOURNAL OF ALGEBRA

卷:319

Article

Park, Sejong

关键词: function system;    weighted fusion category algebra;    Alperin's weight conjecture;    q-Schur algebra;   

DOI  :  10.1016/j.jalgebra.2007.10.025

来源: Elsevier

【 摘 要 】

We show that the weighted fusion category algebra of the principal 2-block b(0) of GL(2)(q) is the quotient of the q-Schur algebra S-2(q) by its socle, for q an odd prime power. As a consequence, we get a canonical bijection between the set of isomorphism classes of simple kGL(2) (q)b(0)-modules and the set of conjugacy classes of b(0)-weights in this case. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

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