Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases
Representation Theory
2018-02-21 v1 Algebraic Geometry
Abstract
Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. For all such orbit closures, we study the normality and we describe the K-module structure of the ring of regular functions of the normalizations.
Keywords
Cite
@article{arxiv.1602.07141,
title = {Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases},
author = {Paolo Bravi and Rocco Chirivì and Jacopo Gandini},
journal= {arXiv preprint arXiv:1602.07141},
year = {2018}
}
Comments
59 pages, 20 tables