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- W2177352696 abstract "We show that the braided Hochschild cohomology, of an algebra in a suitably algebraic braided monoidal category, admits a graded ring structure under which it is braided commutative. We then give a canonical identification between the usual Hochschild cohomology ring of a smash product and the (derived) invariants of its braided Hochschild cohomology ring. We apply our results to identify the associative formal deformation theory of a smash product with its formal deformation theory as a module algebra over the given Hopf algebra (when the Hopf algebra is sufficiently semisimple). As a second application we deduce some structural results for the usual Hochschild cohomology of a smash product, and discuss specific implications for finite group actions on smooth affine schemes." @default.
- W2177352696 created "2016-06-24" @default.
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- W2177352696 date "2015-11-22" @default.
- W2177352696 modified "2023-09-27" @default.
- W2177352696 title "Braided Hochschild cohomology and Hopf actions" @default.
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