paper

Levi-spherical Schubert varieties

arXiv:2305.00555 · doi:10.1016/j.aim.2024.109486

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.

11 pages. Minor corrections made in v2. To appear in Advances in Mathematics