Brace operations and Deligne's Conjecture for module-algebras

Details Brace operations and Deligne's Conjecture for module-algebras Brace operations and Deligne's Conjecture for module-algebras

2006-07-25

arxiv.org/abs/math/0607629v1

Mathematics

K-Theory and Homology

12 pages

Scientific paper

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.

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