On the Frobenius-Schur indicators for quasi-Hopf algebras

2003/09/07 by Peter Schauenburg, Schauenburg, Peter
Mathematics · #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0309131

7 pages

arxiv created 2003/09/07 · arxiv updated 2009/12/01

Abstract

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.

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