Regularity of Unipotent Elements in Total Positivity
Representation Theory
2023-08-16 v1
Abstract
Let be a connected reductive group split over R. We show that every unipotent element in the totally nonnegative monoid of G is regular in some Levi subgroups, confirming a conjecture of Lusztig.
Keywords
Cite
@article{arxiv.2308.07859,
title = {Regularity of Unipotent Elements in Total Positivity},
author = {Haiyu Chen and Kaitao Xie},
journal= {arXiv preprint arXiv:2308.07859},
year = {2023}
}
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25 pages