On the Frobenius-Schur indicators for quasi-Hopf algebras

[摘要] Mason and Ng have given a generalization to semisimple quasi-Hopf algebras of Linchenko and Montgomery's generalization to semisimple Hopf algebras of the classical Frobenius-Schur theorem for group representations. We give a simplified proof, in particular a somewhat conceptual derivation of the appropriate form of the Frobenius-Schur indicator that indicates if and in which of two possible fashions a given simple module is self-dual. (C) 2004 Published by Elsevier Inc.

[发布日期] 2004-12-01

[关键词] quasi-Hopf algebra;Frobenius-Schur indicator