Levi-spherical varieties and Demazure characters

Yibo Gao, Reuven Hodges, Alexander Yong

Research output: Contribution to journalArticlepeer-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 Demazure modules and their characters.

Original languageEnglish (US)
Article number#37
JournalSeminaire Lotharingien de Combinatoire
Issue number91
StatePublished - 2024

Keywords

  • Demazure characters
  • Levi subgroups
  • multiplicity-free
  • Schubert varieties
  • spherical varieties
  • toric varieties

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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