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

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A 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.
The constant term conjecture is now true for indivisible dimension vectors

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Rings and Algebras, Combinatorics, 16G20; 17B67

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http://salesiana.dossiersoluciones.com/handle/123456789/61574

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106009
 http://arxiv.org/abs/math/0106009

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arXiv