Regularity of Unipotent Elements in Total Positivity

Abstract Let G be a connected reductive group split over $$\mathbb R$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>R</mml:mi> </mml:math> . 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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Publication Details

Journal
Transformation Groups
Published
2024-09-05
DOI
https://doi.org/10.1007/s00031-024-09871-2
Citations
1
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
1.01

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article

Regularity of Unipotent Elements in Total Positivity

Haiyu Chen, Kaitao Xie
1 citations
Transformation Groups
Algebraic structures and combinatorial models
1.01
article

Regularity of Unipotent Elements in Total Positivity

Haiyu Chen, Kaitao Xie
article en
1 citations

Abstract

Abstract Let G be a connected reductive group split over $$\mathbb R$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>R</mml:mi> </mml:math> . We show that every unipotent element in the totally nonnegative monoid of G is regular in some Levi subgroups, confirming a conjecture of Lusztig.

Transformation GroupsVol. 31(1)
Chinese University of Hong Kong (HK), University of Hong Kong (HK)
University of Hong Kong
Openalex Percentile: Top 25%
Algebraic structures and combinatorial models
1.01
DOIOpen Access PDFOpenAlex
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Regularity of Unipotent Elements in Total Positivity — Haiyu Chen, Kaitao Xie · Transformation Groups (2024) | TGRS Research Map | TGRS