On certain varieties attached to braid representatives of a Weyl group element
Representation Theory
2023-12-11 v1
Abstract
Let be a connected reductive group over an algebraically closed field with Weyl group . The analogy between Lusztig varieties and Deligne-Lusztig varieties associated to minimal length elements in elliptic conjugacy classes of was studied by He and Lusztig. In this paper, we study the parabolic version of above varieties associated to some good braid elements for any conjugacy class of . This also leads to an alternative version of Lusztig's map in general case.
Keywords
Cite
@article{arxiv.2312.04798,
title = {On certain varieties attached to braid representatives of a Weyl group element},
author = {Chengze Duan},
journal= {arXiv preprint arXiv:2312.04798},
year = {2023}
}