Cacti and cells
Representation Theory
2015-06-16 v1 Combinatorics
Abstract
The goal of this paper is to construct an action of the cactus group of a Weyl group W on W that is nicely compatible with Kazhdan-Lusztig cells. The action is realized by the wall-crossing bijections that are combinatorial shadows of wall-crossing functors on the category O.
Cite
@article{arxiv.1506.04400,
title = {Cacti and cells},
author = {Ivan Losev},
journal= {arXiv preprint arXiv:1506.04400},
year = {2015}
}
Comments
18 pages