Twisted graded Hecke algebras

[摘要] We generalize graded Hecke algebras to include a twisting two-cocycle for the associated finite group. We give examples where the parameter spaces of the resulting twisted graded Hecke algebras are larger than that of the graded Hecke algebras. We prove that twisted graded Hecke algebras are particular types of deformations of a crossed product. (C) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-11-01

[关键词] graded Hecke algebra;crossed product;Skew group algebra;twisted group algebra;deformation