Abstract
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 language | English (US) |
|---|---|
| Article number | #29 |
| Journal | Seminaire Lotharingien de Combinatoire |
| Issue number | 86 |
| State | Published - 2022 |
Keywords
- Levi subgroups
- Schubert varieties
- key polynomials
- spherical varieties
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics