Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases

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.

59 pages, 20 tables

References in corpus (4)

• Wonderful Varieties: A geometrical realization
• Spherical orbit closures in simple projective spaces and their normalizations
• Projective normality of model varieties and related results
• Small spherical nilpotent orbits and K-types of Harish Chandra modules

Cited by in corpus (2)

• Spherical nilpotent orbits and abelian subalgebras in isotropy representations
• Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases