Levi-spherical Schubert varieties

Yibo Gao; Reuven Hodges; Alexander Yong

doi:10.1016/j.aim.2024.109486

Levi-spherical Schubert varieties

Yibo Gao, Reuven Hodges, Alexander Yong

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety G/B of finite Lie type. We apply this to the study of multiplicity-free decompositions of a Demazure module into irreducible representations of a Levi subgroup.

Original language	English (US)
Article number	109486
Journal	Advances in Mathematics
Volume	439
DOIs	https://doi.org/10.1016/j.aim.2024.109486
State	Published - Mar 2024

Keywords

Demazure modules
Levi subgroups
Schubert varieties
Spherical varieties
Toric varieties

ASJC Scopus subject areas

General Mathematics

Online availability

10.1016/j.aim.2024.109486License: CC BY-NC

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abstract = "We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety G/B of finite Lie type. We apply this to the study of multiplicity-free decompositions of a Demazure module into irreducible representations of a Levi subgroup.",

keywords = "Demazure modules, Levi subgroups, Schubert varieties, Spherical varieties, Toric varieties",

author = "Yibo Gao and Reuven Hodges and Alexander Yong",

note = "RH was partially supported by an AMS-Simons Travel Grant. AY is partially supported by a Simons Collaboration Grant \# 582242 and an NSF RTG in Combinatorics DMS 1937241 .",

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language = "English (US)",

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T1 - Levi-spherical Schubert varieties

AU - Gao, Yibo

AU - Hodges, Reuven

AU - Yong, Alexander

N1 - RH was partially supported by an AMS-Simons Travel Grant. AY is partially supported by a Simons Collaboration Grant # 582242 and an NSF RTG in Combinatorics DMS 1937241 .

PY - 2024/3

Y1 - 2024/3

N2 - We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety G/B of finite Lie type. We apply this to the study of multiplicity-free decompositions of a Demazure module into irreducible representations of a Levi subgroup.

AB - We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety G/B of finite Lie type. We apply this to the study of multiplicity-free decompositions of a Demazure module into irreducible representations of a Levi subgroup.

KW - Demazure modules

KW - Levi subgroups

KW - Schubert varieties

KW - Spherical varieties

KW - Toric varieties

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DO - 10.1016/j.aim.2024.109486

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JO - Advances in Mathematics

JF - Advances in Mathematics

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Levi-spherical Schubert varieties

Abstract

Keywords

ASJC Scopus subject areas

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