On the equivariant K-theory of the nilpotent cone
| dc.creator | Ostrik, Viktor | |
| dc.date | 1999-11-10 | |
| dc.date.accessioned | 2026-07-07T05:31:32Z | |
| dc.date.available | 2026-07-07T05:31:32Z | |
| dc.description | Let G be a simple algebraic group over the complex numbers. Let N be the cone of nilpotent elements in the Lie algebra of G. Let K_{G x C^*}(N) denote the Grothendieck group of the category of G x C^*-equivariant coherent sheaves on N. In this note we construct a Kazhdan-Lusztig type canonical basis of K_{G x C^*}(N) over representation ring of C^*. This basis is parametrized by the set of dominant weights for G. On the other hand we conjecture that this basis is close to the basis consisting of irreducible G-equivariant bundles on nilpotent orbits. This would give us a natural construction of Lusztig's bijection between two sets: \{dominant weights for G\} and \{pairs consisting of a nilpotent orbit O and irreducible G-equivariant bundle on O. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/9911068 | |
| dc.identifier | http://arxiv.org/abs/math/9911068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79377 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | On the equivariant K-theory of the nilpotent cone | |
| dc.type | text |