Classification of Levi-spherical Schubert varieties

Yibo Gao, Reuven Hodges, Alexander Yong

Research output: Contribution to journalArticlepeer-review


A Schubert variety in the complete flag manifold GLn/ B is Levi-spherical if the action of a Borel subgroup in a Levi subgroup of a standard parabolic has an open dense orbit. We give a combinatorial classification of these Schubert varieties. This establishes a conjecture of the latter two authors, and a new formulation in terms of standard Coxeter elements. Our proof uses and contributes to the theory of key polynomials (type A Demazure module characters).

Original languageEnglish (US)
Article number55
JournalSelecta Mathematica, New Series
Issue number4
StatePublished - Sep 2023

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy


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