Symplectic reflection algebras and affine Lie algebras

Details Symplectic reflection algebras and affine Lie algebras Symplectic reflection algebras and affine Lie algebras

2010-11-20

arxiv.org/abs/1011.4584v4

Mathematics

Representation Theory

26 pages, latex; in the new version, misprints and errors pointed out by the referee were corrected

Scientific paper

The goal of this paper is to present some results and (more importantly) state a number of conjectures suggesting that the representation theory of symplectic reflection algebras for wreath products categorifies certain structures in the representation theory of affine Lie algebras (namely, decompositions of the restriction of the basic representation to finite dimensional and affine subalgebras). These conjectures arose from the insight due to R. Bezrukavnikov and A. Okounkov on the link between quantum connections for Hilbert schemes of resolutions of Kleinian singularities and representations of symplectic reflection algebras.

Affiliated with

Also associated with

No associations

Rating

Symplectic reflection algebras and affine Lie 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 Symplectic reflection algebras and affine Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symplectic reflection algebras and affine Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21872