Measurability of open orbits in flag supermanifolds

Abstract

Let $G_{\mathbb{R}}$ be a Lie group and $G$ its complexification. An open $G_{\mathbb{R}}$-orbit in a $G$-flag manifold is measurable whenever it carries a $G_{\mathbb{R}}$-invariant volume element. In this paper the notion of measurability is generalized to the supersymmetric setting and a classification of measurable open orbits in flag supermanifolds is given.

16 pages

Cited by in corpus (1)

• On Flag Domains in the Supersymmetric Setting