English

Geometric Conditions for Twisted O-Sphericity

Algebraic Geometry 2023-08-03 v1

Abstract

The geometric condition defining a spherical variety for a reductive algebraic group was generalized in [AG21], with applications to representation theory. We twist by a character to generalize this definition, and show its equivalence to a property of group actions that generalizes Theorem B of [AG21]. We also present an example to demonstrate the necessity of this generalization.

Keywords

Cite

@article{arxiv.2308.01048,
  title  = {Geometric Conditions for Twisted O-Sphericity},
  author = {Arieh Zimmerman},
  journal= {arXiv preprint arXiv:2308.01048},
  year   = {2023}
}

Comments

Abridged Master's Thesis

R2 v1 2026-06-28T11:46:18.205Z