Quiver algebras, weighted projective lines, and the Deligne-Simpson problem

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dc.creatorCrawley-Boevey, William
dc.date2006-04-12
dc.date.accessioned2026-07-07T07:10:49Z
dc.date.available2026-07-07T07:10:49Z
dc.descriptionWe describe recent work on preprojective algebras and moduli spaces of their representations. We give an analogue of Kac's Theorem, characterizing the dimension types of indecomposable coherent sheaves over weighted projective lines in terms of loop algebras of Kac-Moody Lie algebras, and explain how it is proved using Hall algebras. We discuss applications to the problem of describing the possible conjugacy classes of sums and products of matrices in known conjugacy classes.
dc.descriptionTo appear in Proceedings of ICM 2006 Madrid (11 pages)
dc.identifierhttps://arxiv.org/abs/math/0604273
dc.identifierhttp://arxiv.org/abs/math/0604273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111539
dc.subjectRings and Algebras
dc.subject16G20, 14H60, 15A24
dc.titleQuiver algebras, weighted projective lines, and the Deligne-Simpson problem
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