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• W3105979084 abstract "We prove a variety results on tensor product factorizations of finite dimensional Hopf algebras (more generally Hopf algebras satisfying chain conditions in suitable braided categories). The results are analogs of well-known results on direct product factorizations of finite groups (or groups with chain conditions) such as Fitting's Lemma and the uniqueness of the Krull-Remak-Schmidt factorization. We analyze the notion of normal (and conormal) Hopf algebra endomorphisms, and the structure of endomorphisms and automorphisms of tensor products. The results are then applied to compute the automorphism group of the Drinfeld double of a finite group in the case where the group contains an abelian factor. (If it doesn't, the group can be calculated by results of the first author.)" @default.
• W3105979084 created "2020-11-23" @default.
• W3105979084 creator A5045540427 @default.
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• W3105979084 date "2016-02-14" @default.
• W3105979084 modified "2023-09-25" @default.
• W3105979084 title "On tensor factorizations of Hopf algebras" @default.
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• W3105979084 doi "https://doi.org/10.2140/ant.2016.10.61" @default.
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