Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases
Representation Theory
2020-10-21 v2 Algebraic Geometry
Abstract
Given a classical semisimple complex algebraic group G and a symmetric pair (G,K) of Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. We show that all such orbit closures are normal and describe the K-module structure of their ring of regular functions.
Keywords
Cite
@article{arxiv.1612.01300,
title = {Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases},
author = {Paolo Bravi and Jacopo Gandini},
journal= {arXiv preprint arXiv:1612.01300},
year = {2020}
}
Comments
v2, 39 pages, 11 tables, section 3.2 rewritten in more explicit terms. This is the second in a series of papers initiated by arXiv:1602.07141. Final version, to appear in Kyoto Journal of Mathematics