Regular functions on spherical nilpotent orbits in complex symmetric pairs: Classical Hermitian cases

摘要

Given a classical semisimple complex algebraic group G and a symmetric pair(G,K) of Hermitian type, we study the closures of the spherical nilpotentK-orbits in the isotropy representation of K. We show that all such orbitclosures are normal and describe the K-module structure of their ring ofregular functions.