Super Distributions, Analytic and Algebraic Super Harish-Chandra pairs

Abstract

The purpose of this paper is to extend the theory of Super Harish-Chandra pairs, originally developed by Koszul for Lie supergroups, to analytic and algebraic supergroups, in order to obtain information also about their representations. We also define the distribution superalgebra for algebraic and analytic supergroups and study its relation with the universal enveloping superalgebra

References in corpus (1)

• On holomorphic functions on a compact complex homogeneous supermanifold

Cited by in corpus (6)

• Algebraic supergroups with Lie superalgebras of classical type
• Real forms of complex Lie superalgebras and supergroups
• Lie supergroups vs. super Harish-Chandra pairs: a new equivalence
• Highest weight Harish-Chandra supermodules and their geometric realizations. I. The infinitesimal theory
• On Flag Domains in the Supersymmetric Setting
• Compact forms of Complex Lie Supergroups