Cohomology of trivial extensions of Frobenius algebras

Simple item page
dc.creatorGuccione, Jorge A.
dc.creatorGuccione, Juan J.
dc.date2001-07-27
dc.date2001-08-28
dc.date.accessioned2026-07-07T04:42:45Z
dc.date.available2026-07-07T04:42:45Z
dc.descriptionWe obtain a decomposition for the Hochschild cochain complex of a split algebra and we study some properties of the cohomology of each term of this decomposition. Then, we consider the case of trivial extensions, specially of Frobenius algebras. In particular, we determine completely the cohomology of the trivial extension of a finite dimensional Hopf algebra. Finally, as an application, we obtain a result about the Hochschild cohomology of Frobenius algebras.
dc.description17 pages. This is a enterely rewriten version of the paper entitled "Cohomology of split algebras". We have made substancial changes in the third section of the previous version
dc.identifierhttps://arxiv.org/abs/math/0107200
dc.identifierhttp://arxiv.org/abs/math/0107200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61918
dc.subjectK-Theory and Homology
dc.subject16C40; 16D20
dc.titleCohomology of trivial extensions of Frobenius algebras
dc.typetext

Files

Collections

arXiv