Brace operations and Deligne's Conjecture for module-algebras
K-Theory and Homology
2007-05-23 v1 Algebraic Topology
Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0607629,
title = {Brace operations and Deligne's Conjecture for module-algebras},
author = {Donald Yau},
journal= {arXiv preprint arXiv:math/0607629},
year = {2007}
}
Comments
12 pages