Quiver varieties and t-analogs of q-characters of quantum affine algebras
| dc.creator | Nakajima, Hiraku | |
| dc.date | 2001-05-22 | |
| dc.date | 2002-04-14 | |
| dc.date.accessioned | 2026-07-07T04:41:47Z | |
| dc.date.available | 2026-07-07T04:41:47Z | |
| dc.description | Let us consider a specialization of an untwisted quantum affine algebra of type $ADE$ at a nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of its finite dimensional representations has two bases, simple modules and standard modules. We identify entries of the transition matrix with special values of ``computable'' polynomials, similar to Kazhdan-Lusztig polynomials. At the same time we ``compute'' $q$-characters for all simple modules. The result is based on ``computations'' of Betti numbers of graded/cyclic quiver varieties. (The reason why we put `` '' will be explained in the end of the introduction.) | |
| dc.description | 32 pages, The definition of the multiplication of the $t$--analog of the representation ring is corrected. Several ref's are added | |
| dc.identifier | https://arxiv.org/abs/math/0105173 | |
| dc.identifier | http://arxiv.org/abs/math/0105173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61506 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 17B37; 14D21, 14L30, 16G20 | |
| dc.title | Quiver varieties and t-analogs of q-characters of quantum affine algebras | |
| dc.type | text |