Microlocal KZ functors and rational Cherednik algebras

Details Microlocal KZ functors and rational Cherednik algebras Microlocal KZ functors and rational Cherednik algebras

2010-06-08

arxiv.org/abs/1006.1599v3

Mathematics

Representation Theory

Revised to improve exposition, giving more details on the construction of the microlocal local systems and providing backgroun

Scientific paper

Following the work of Kashiwara-Rouquier and Gan-Ginzburg, we define a family of exact functors from category $\mathcal O$ for the rational Cherednik algebra in type $A$ to representations of certain "coloured braid groups" and calculate the dimensions of the representations thus obtained from standard modules. To show that our constructions also make sense in a more general context, we also briefly study the case of the rational Cherednik algebra corresponding to complex reflection group $\mathbb Z/l\mathbb Z$.

Affiliated with

Also associated with

No associations

Rating

Microlocal KZ functors and rational 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 Microlocal KZ functors and rational Cherednik algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microlocal KZ functors and rational Cherednik algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30599