Almost-commuting variety, D-modules, and Cherednik Algebras
| dc.creator | Gan, Wee Liang | |
| dc.creator | Ginzburg, Victor | |
| dc.date | 2004-09-15 | |
| dc.date | 2005-12-14 | |
| dc.date.accessioned | 2026-07-07T06:38:48Z | |
| dc.date.available | 2026-07-07T06:38:48Z | |
| dc.description | We study a scheme M closely related to the set of pairs of n by n-matrices with rank 1 commutator. We show that M is a reduced complete intersection with n+1 irreducible components, which we describe. There is a distinguished Lagrangian subvariety Nil in M. We introduce a category, C, of D-modules whose characteristic variety is contained in Nil. Simple objects of that category are analogous to Lusztig's character sheaves. We construct a functor of Quantum Hamiltonian reduction from category C to the category O for type A rational Cherednik algebra. | |
| dc.description | Final version, to appear in IMRN. Introduction expanded, many minor corresctions made, section 7 rewritten, an Appendix added | |
| dc.identifier | https://arxiv.org/abs/math/0409262 | |
| dc.identifier | http://arxiv.org/abs/math/0409262 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100867 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Almost-commuting variety, D-modules, and Cherednik Algebras | |
| dc.type | text |