Frobenius–Schur Indicator for Categories with Duality
AbstractWe introduce the Frobenius–Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius–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–Schur theorem for various algebraic objects. We also give several applications to the quantum SL2.
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Shimizu, K. Frobenius–Schur Indicator for Categories with Duality. Axioms 2012, 1, 324-364.
Shimizu K. Frobenius–Schur Indicator for Categories with Duality. Axioms. 2012; 1(3):324-364.Chicago/Turabian Style
Shimizu, Kenichi. 2012. "Frobenius–Schur Indicator for Categories with Duality." Axioms 1, no. 3: 324-364.