Almost-commuting variety, D-modules, and Cherednik Algebras

Details Almost-commuting variety, D-modules, and Cherednik Algebras Almost-commuting variety, D-modules, and Cherednik Algebras

2004-09-15

arxiv.org/abs/math/0409262v7

Mathematics

Representation Theory

Final version, to appear in IMRN. Introduction expanded, many minor corresctions made, section 7 rewritten, an Appendix added

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Almost-commuting variety, D-modules, and Cherednik Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Almost-commuting variety, D-modules, and Cherednik Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost-commuting variety, D-modules, and Cherednik Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-621887