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• W2055653764 abstract "In this paper, we introduce the notion of the pivotal cover Cpiv of a left rigid monoidal category C to develop a theoretical foundation for the theory of Frobenius–Schur (FS) indicators in “non-pivotal” settings. For an object V∈Cpiv, the (n,r)-th FS indicator νn,r(V) is defined by generalizing that of an object of a pivotal monoidal category. This notion gives a categorical viewpoint to some recent results on generalizations of FS indicators. Based on our framework, we also study the FS indicators of the “adjoint object” in a finite tensor category, which can be considered as a generalization of the adjoint representation of a Hopf algebra. The indicators of this object closely relate to the space of endomorphisms of the iterated tensor product functor." @default.
• W2055653764 created "2016-06-24" @default.
• W2055653764 creator A5027721987 @default.
• W2055653764 date "2015-04-01" @default.
• W2055653764 modified "2023-09-27" @default.
• W2055653764 title "The pivotal cover and Frobenius–Schur indicators" @default.
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• W2055653764 doi "https://doi.org/10.1016/j.jalgebra.2015.01.014" @default.
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