Normal Lie subsupergroups and non-abelian supercircles
type: Item
instance of: scholarly article
title: Normal Lie subsupergroups and non-abelian supercircles
zbMATH Open document ID: 1072.17013
DOI: 10.1155/S0161171202012395
author: P. Baguis
author: T. Stavracou
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/51668
review text: Summary: We propose and study an appropriate analog of normal Lie subgroups in the supergeometrical context. We prove that the ringed space obtained taking the quotient of a Lie supergroup by a normal Lie subsupergroup, is still a Lie supergroup. We show how one can construct Lie supergroup structures over topologically nontrivial Lie groups and how the previous property of normal Lie subsupergroups can be used, in order to explicitly obtain the coproduct, counit, and antipode of these structures. We illustrate the general theory by carrying out the previous constructions over the circle, which leads to non-abelian super generalizations of the circle.
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 58A50
Mathematics Subject Classification ID: 58C50
zbMATH DE Number: 1779141
MaRDI profile type: Publication
OpenAlex ID: W1969130588
description: scientific article; zbMATH DE number 1779141