Levi-spherical Schubert varieties
Representation Theory
2024-03-25 v2 Algebraic Geometry
Combinatorics
Abstract
We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety 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
Cite
@article{arxiv.2305.00555,
title = {Levi-spherical Schubert varieties},
author = {Yibo Gao and Reuven Hodges and Alexander Yong},
journal= {arXiv preprint arXiv:2305.00555},
year = {2024}
}
Comments
11 pages. Minor corrections made in v2. To appear in Advances in Mathematics