Work

Levi-spherical Schubert varieties

Year: 2024

Type: article

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.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2024.109486

Authors: Yibo Gao, Reuven Hodges, Alexander Yong

Institutions: Peking University, University of Kansas, University of Illinois Urbana-Champaign

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,510

Funder: National Science Foundation