Homology of graded Hecke algebras

Details Homology of graded Hecke algebras Homology of graded Hecke algebras

2008-12-09

arxiv.org/abs/0812.1661v2

Journal of Algebra 323 (2010), 1622--1648

Mathematics

K-Theory and Homology

Changes in second version: Part of Lemma 3.2 in the first version was incorrect and has been repaired. In Section 4 an example

Scientific paper

10.1016/j.algebra.2010.01.011

Let H be a graded Hecke algebra with complex deformation parameters and Weyl group W. We show that the Hochschild, cyclic and periodic cyclic homologies of H are all independent of the parameters, and compute them explicitly. We use this to prove that, if the deformation parameters are real, the collection of irreducible tempered H-modules with real central character forms a Q-basis of the representation ring of W. Our method involves a new interpretation of the periodic cyclic homology of finite type algebras, in terms of the cohomology of a sheaf over the underlying complex affine variety.

Affiliated with

Also associated with

No associations

Rating

Homology of graded Hecke 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 Homology of graded Hecke algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homology of graded Hecke algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-282143