Classifying Levi-Spherical Schubert Varieties

Yibo Gao, Reuven Hodges, Alexander Yong

Research output: Contribution to journalArticlepeer-review


A Schubert variety in the 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 present some recent combinatorial developments on this topic, including a classification in terms of spherical elements of a symmetric group. We offer a new conjecture that extends the classification to other Lie types, along with supporting evidence.

Original languageEnglish (US)
Article number#29
JournalSeminaire Lotharingien de Combinatoire
Issue number86
StatePublished - 2022


  • Levi subgroups
  • Schubert varieties
  • key polynomials
  • spherical varieties

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


Dive into the research topics of 'Classifying Levi-Spherical Schubert Varieties'. Together they form a unique fingerprint.

Cite this