Hochschild Cohomology of skew group rings and invariants

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dc.creatorMarcos, Eduardo do Nascimento
dc.creatorMartinez-Villa, Roberto
dc.creatorMartins, Maria Izabel Ramalho
dc.date2003-12-26
dc.date.accessioned2026-07-07T05:04:12Z
dc.date.available2026-07-07T05:04:12Z
dc.descriptionLet $A$ be a $k$-algebra and $G$ be a group acting on $A$. We show that $G$ also acts on the Hochschild cohomology algebra $HH^{\bullet}(A)$ and that there is a monomorphism of rings $HH^{\bullet}(A)^G \hookrightarrow HH^{\bullet}(A[G])$. That allows us to show the existence of a monomorphism from $HH^{\bullet}(\widetilde{A})^G$ into $HH^{\bullet}(A)$, where $\widetilde{A}$ is a Galois covering with group $G$.
dc.identifierhttps://arxiv.org/abs/math/0312460
dc.identifierhttp://arxiv.org/abs/math/0312460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69711
dc.subjectRepresentation Theory
dc.subject16E40; 16D20; 16S37
dc.titleHochschild Cohomology of skew group rings and invariants
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