On the multiplicities of the irreducible highest weight modules over Kac-Moody algebras
| dc.creator | Mozgovoy, Sergey | |
| dc.date | 2006-09-13 | |
| dc.date | 2006-10-02 | |
| dc.date.accessioned | 2026-07-07T07:24:46Z | |
| dc.date.available | 2026-07-07T07:24:46Z | |
| dc.description | We prove that the weight multiplicities of the integrable irreducible highest weight module over the Kac-Moody algebra associated to a quiver are equal to the root multiplicities of the Kac-Moody algebra associated to some enlarged quiver. To do this, we use the Kac conjecture for indivisible roots and a relation between the Poincare polynomials of quiver varieties and the Kac polynomials, counting the number of absolutely irreducible representations of the quiver over finite fields. As a corollary of this relation, we get an explicit formula for the Poincare polynomials of quiver varieties, which is equivalent to the formula of Hausel. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609349 | |
| dc.identifier | http://arxiv.org/abs/math/0609349 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116493 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16G20, 17B67 | |
| dc.title | On the multiplicities of the irreducible highest weight modules over Kac-Moody algebras | |
| dc.type | text |