Support varieties for selfinjective algebras

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dc.creatorErdmann, Karin
dc.creatorHolloway, Miles
dc.creatorSnashall, Nicole
dc.creatorSolberg, Oyvind
dc.creatorTaillefer, Rachel
dc.date2003-11-18
dc.date.accessioned2026-07-07T05:03:01Z
dc.date.available2026-07-07T05:03:01Z
dc.descriptionSupport varieties for any finite dimensional algebra over a field were introduced by Snashall-Solberg using graded subalgebras of the Hochschild cohomology. We mainly study these varieties for selfinjective algebras under appropriate finite generation hypotheses. Then many of the standard results from the theory of support varieties for finite groups generalize to this situation. In particular, the complexity of the module equals the dimension of its corresponding variety, all closed homogeneous varieties occur as the variety of some module, the variety of an indecomposable module is connected, periodic modules are lines and for symmetric algebras a generalization of Webb's theorem is true.
dc.identifierhttps://arxiv.org/abs/math/0311311
dc.identifierhttp://arxiv.org/abs/math/0311311
dc.identifierK-Theory, vol. 33, no. 1 (2004), 67-87
dc.identifierdoi:10.1007/s10977-004-0838-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69245
dc.subjectK-Theory and Homology
dc.subjectRepresentation Theory
dc.subject16E40, 16G10, 16P10, 16P20, 16G70
dc.titleSupport varieties for selfinjective algebras
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