Module correspondences for twisted group algebras | |
Lu, ZQ | |
2003 | |
关键词 | finite group coprime action twisted-group algebra Glauberman-Isaacs correspondence CHARACTER CORRESPONDENCES |
英文摘要 | Let G and A be finite groups such that (\G\, \A\\) = 1. Let K be an algebraically closed field with Char K = 0. Denote by K(alpha)G the twisted group algebra of G over K with factor set alpha. In this paper we prove that if A acts homogeneously on K(alpha)G, then there exists an action of A on G, and there is a one-to-one correspondence between the set of A-invariant irreducible K(alpha)G-modules and the set of irreducible (KCG)-C-alpha(A)-modules.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000184560900028&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 1; ARTICLE; 7; 3519-3527; 31 |
语种 | 英语 |
出处 | SCI |
出版者 | communications in algebra |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/158037] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Lu, ZQ. Module correspondences for twisted group algebras. 2003-01-01. |
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