Brace operations and Deligne's Conjecture for module-algebras

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It is observed that Kaygun's Hopf-Hochschild cochain complex for a module-algebra is a brace algebra with multiplication. As a result, (i) an analogue of Deligne's Conjecture holds for module-algebras, and (ii) the Hopf-Hochschild cohomology of a module-algebra has a Gerstenhaber algebra structure.
12 pages

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K-Theory and Homology, Algebraic Topology, Rings and Algebras, 16E40; 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/115115

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607629
 http://arxiv.org/abs/math/0607629

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arXiv