New deformations of group algebras of Coxeter groups

Details New deformations of group algebras of Coxeter groups New deformations of group algebras of Coxeter groups

2004-09-15

arxiv.org/abs/math/0409261v1

Mathematics

Quantum Algebra

10 pages, latex

Scientific paper

We define new deformations of group algebras of Coxeter groups W and of subgroups of even elements in them, by deforming the braid relations. We show that these deformations are algebraically flat iff they are formally flat, and that this happens iff the group W has no finite parabolic subgroups of rank 3. The proof uses the theory of constructible sheaves on cell complexes attached to W. We explain the connection of our deformations with the Hecke algebras of orbifolds defined by the first author in math.QA/0406499 and with generalized double affine Hecke algebras defined by the authors and A. Oblomkov in math.QA/0406480. The paper is dedicated to the memory of Walter Feit.

Affiliated with

Also associated with

No associations

Rating

New deformations of group algebras of Coxeter groups 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 New deformations of group algebras of Coxeter groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New deformations of group algebras of Coxeter groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-621881