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Levi-spherical Schubert varieties

Authors :
Gao, Yibo
Hodges, Reuven
Yong, Alexander
Source :
Adv. Math. 439 (2024), Paper No. 109486, 14 pp
Publication Year :
2023

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.<br />Comment: 11 pages. Minor corrections made in v2. To appear in Advances in Mathematics

Details

Database :
arXiv
Journal :
Adv. Math. 439 (2024), Paper No. 109486, 14 pp
Publication Type :
Report
Accession number :
edsarx.2305.00555
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.aim.2024.109486