Brace operations and Deligne's Conjecture for module-algebras

2006/07/25 by Donald Yau, Yau, Donald
Mathematics · #16E40 #16W30 #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA) #math.AT #math.KT #math.RA #msc:16E40 #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0607629

12 pages

arxiv created 2006/07/25 · arxiv updated 2009/12/01

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.

Related

• Cohomology operations and the Deligne conjecture
• Gerstenhaber algebra and Deligne's conjecture on Tate-Hochschild cohomology
• Brace algebras and the cohomology comparison theorem
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