Author
McGerty, K
Journal title
Duke Mathematical Journal
DOI
10.1215/00127094-1593353
Issue
9
Volume
161
Last updated
2024-02-23T04:52:40.403+00:00
Page
1657-1709
Abstract
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 $\mathbb Z/l\mathbb Z$.
Symplectic ID
194804
Download URL
http://arxiv.org/abs/1006.1599v3
Favourite
On
Publication type
Journal Article
Publication date
08 Jun 2010
Please contact us with feedback and comments about this page. Created on 31 Oct 2011 - 20:03.