%0 Journal Article
%T Frobenius每Schur Indicator for Categories with Duality
%A Kenichi Shimizu
%J Axioms
%D 2012
%I MDPI AG
%R 10.3390/axioms1030324
%X We introduce the Frobenius每Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius每Schur theorem including that for semisimple quasi-Hopf algebras, weak Hopf C*-algebras and association schemes. Our framework also clarifies a mechanism of how the ※twisted§ theory arises from the ordinary case. As a demonstration, we establish twisted versions of the Frobenius每Schur theorem for various algebraic objects. We also give several applications to the quantum SL 2.
%K Frobenius每Schur indicator
%K category with duality
%K Hopf algebra
%K quantum groups
%U http://www.mdpi.com/2075-1680/1/3/324