Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone
| dc.creator | Bezrukavnikov, Roman | |
| dc.date | 2001-02-06 | |
| dc.date.accessioned | 2026-07-07T04:39:59Z | |
| dc.date.available | 2026-07-07T04:39:59Z | |
| dc.description | In math.AG/0005152 a certain $t$-structure on the derived category of equivariant coherent sheaves on the nil-cone of a simple complex algebraic group was introduced (the so-called perverse $t$-structure corresponding to the middle perversity). In the present note we show that the same $t$-structure can be obtained from a natural quasi-exceptional set generating this derived category. As a consequence we obtain a bijection between the sets of dominant weights and pairs consisting of a nilpotent orbit, and an irreducible representation of the centralizer of this element, conjectured by Lusztig and Vogan (and obtained by other means in math.RT/0010089). | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0102039 | |
| dc.identifier | http://arxiv.org/abs/math/0102039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60894 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone | |
| dc.type | text |