Séminaire Lotharingien de Combinatoire, 86B.29 (2022), 12 pp.

Yibo Gao, Reuven Hodges and Alexander Yong

Classifying Levi-Spherical Schubert Varieties

Abstract. A Schubert variety in the flag manifold GL_n/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.

Received: November 25, 2021. Accepted: March 4, 2022. Final version: April 1, 2022.

The following versions are available:

PDF (172 K)
TeX version