Absolutely indecomposable representations and Kac-Moody Lie algebras (with an appendix by Hiraku Nakajima)

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dc.creatorCrawley-Boevey, William
dc.creatorBergh, Michel Van den
dc.date2001-06-01
dc.date2001-11-19
dc.date.accessioned2026-07-07T04:41:57Z
dc.date.available2026-07-07T04:41:57Z
dc.descriptionA conjecture of Kac states that the polynomial counting the number of absolutely indecomposable representations of a quiver over a finite field with given dimension vector has positive coefficients and furthermore that its constant term is equal to the multiplicity of the corresponding root in the associated Kac-Moody Lie algebra. In this paper we prove these conjectures for indivisible dimension vectors.
dc.descriptionThe constant term conjecture is now true for indivisible dimension vectors
dc.identifierhttps://arxiv.org/abs/math/0106009
dc.identifierhttp://arxiv.org/abs/math/0106009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61574
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject16G20; 17B67
dc.titleAbsolutely indecomposable representations and Kac-Moody Lie algebras (with an appendix by Hiraku Nakajima)
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