Regularity of Unipotent Elements in Total Positivity

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2024年9月5日

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Haiyu Chen,
Kaitao Xie

摘要

Let G be a connected reductive group split over $\mathbb R$ $R$ . We show that every unipotent element in the totally nonnegative monoid of G is regular in some Levi subgroups, confirming a conjecture of Lusztig.