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arXiv · 2308.07859

Regularity of Unipotent Elements in Total Positivity

Haiyu Chen·Kaitao Xie
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Abstract

Let $G$ 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.

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Haiyu Chen, Kaitao Xie. 2023-08-15. Regularity of Unipotent Elements in Total Positivity. https://arxiv.org/abs/2308.07859

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