Compact forms of Complex Lie Supergroups

TL;DR

This paper constructs compact forms of complex Lie supergroups with classical Lie superalgebras, advancing the understanding of their structure and potential applications.

Contribution

It introduces a method to construct compact forms of complex Lie supergroups with classical Lie superalgebras, a novel approach in the field.

Findings

Successfully constructed compact forms for complex Lie supergroups

Extended classical Lie group techniques to supergroup context

Provided foundational tools for future supergeometry research

Abstract

In this paper we construct compact forms associated with a complex Lie supergroup with Lie superalgebra of classical type.