Locally semi-simple representations of quivers

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dc.creatorShmelkin, D. A.
dc.date2005-02-08
dc.date.accessioned2026-07-07T05:16:47Z
dc.date.available2026-07-07T05:16:47Z
dc.descriptionWe suggest a geometrical approach to the semi-invariants of quivers based on Luna's slice theorem and the Luna-Richardson theorem. The locally semi-simple representations are defined in this spirit but turn out to be connected with stable representations in the sense of GIT, Schofield's perpendicular categories, and Ringel's regular representations. As an application of this method we obtain an independent short proof of the theorem of Skowronsky and Weyman about semi-invariants of the tame quivers.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0502156
dc.identifierhttp://arxiv.org/abs/math/0502156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74120
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14L30; 16G20
dc.titleLocally semi-simple representations of quivers
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