Fine Hochschild invariants of derived categories for symmetric algebras

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dc.creatorZimmermann, Alexander
dc.date2006-08-29
dc.date.accessioned2026-07-07T07:22:16Z
dc.date.available2026-07-07T07:22:16Z
dc.descriptionLet $A$ be a symmetric $k$-algebra over a perfect field $k$. Külshammer defined for any integer $n$ a mapping $ζ\_n$ on the degree 0 Hochschild cohomology and a mapping $κ\_n$ on the degree 0 Hochschild homology of $A$ as adjoint mappings of the respective $p$-power mappings with respect to the symmetrizing bilinear form. In an earlier paper it is shown that $ζ\_n$ is invariant under derived equivalences. In the present paper we generalize the definition of $κ\_n$ to higher Hochschild homology and show the invariance of $κ$ and its generalization under derived equivalences. This provides fine invariants of derived categories.
dc.identifierhttps://arxiv.org/abs/math/0608712
dc.identifierhttp://arxiv.org/abs/math/0608712
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115601
dc.subjectRepresentation Theory
dc.subject16E40, 18E30, 17B50
dc.titleFine Hochschild invariants of derived categories for symmetric algebras
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