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.2024.109486

Library availability

Discover UIUC Full Text

Cite this

@article{abe9e4996d784f5a8e8157d5ae07697f,

title = "Levi-spherical Schubert varieties",

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 = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2024",

month = mar,

doi = "10.1016/j.aim.2024.109486",

language = "English (US)",

volume = "439",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Levi-spherical Schubert varieties

AU - Gao, Yibo

AU - Hodges, Reuven

AU - Yong, Alexander

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

UR - http://www.scopus.com/inward/record.url?scp=85182779414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85182779414&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2024.109486

DO - 10.1016/j.aim.2024.109486

M3 - Article

AN - SCOPUS:85182779414

SN - 0001-8708

VL - 439

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 109486

ER -

Levi-spherical Schubert varieties

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this