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2011 Operations on the Hopf-Hochschild complex for module-algebras
Donald Yau
Homology Homotopy Appl. 13(1): 259-272 (2011).

Abstract

It is proved that Kaygun’s Hopf-Hochschild cochain complex for a module-algebra is a brace algebra with multiplication. As a result, an analogue of Deligne’s Conjecture holds for module-algebras, and the Hopf-Hochschild cohomology of a module-algebra has a Gerstenhaber algebra structure.

Citation

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Donald Yau. "Operations on the Hopf-Hochschild complex for module-algebras." Homology Homotopy Appl. 13 (1) 259 - 272, 2011.

Information

Published: 2011
First available in Project Euclid: 29 July 2011

zbMATH: 1243.16007
MathSciNet: MR2803874

Subjects:
Primary: 16E40 , 16W30

Keywords: brace algebra , Deligne's conjecture , Gerstenhaber algebra , Hopf-Hochschild cohomology , Module-algebra

Rights: Copyright © 2011 International Press of Boston

Vol.13 • No. 1 • 2011
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