Derived equivalence classification of symmetric algebras of domestic type

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dc.creatorHolm, Thorsten
dc.creatorSkowronski, Andrzej
dc.date2005-11-09
dc.date.accessioned2026-07-07T06:51:02Z
dc.date.available2026-07-07T06:51:02Z
dc.descriptionWe give a complete derived equivalence classification of all symmetric algebras of domestic representation type over an algebraically closed field. This completes previous work by R. Bocian and the authors, where in this paper we solve the crucial problem of distinguishing standard and nonstandard algebras up to derived equivalence. Our main tool are generalized Reynolds ideals, introduced by B. K"ulshammer for symmetric algebras in positive characteristic, and recently shown by A. Zimmermann (math.RA/0509580) to be invariants under derived equivalences.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0511227
dc.identifierhttp://arxiv.org/abs/math/0511227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104852
dc.subjectRepresentation Theory
dc.subject16D50; 16G60; 18E30
dc.titleDerived equivalence classification of symmetric algebras of domestic type
dc.typetext

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