An existence result for super Lie groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1984 Italy English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 8, pages 279-288 (issn: 0377-9017, eissn: 1573-0530,

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Authors: CIANCI, ROBERTO; U. Bruzzo;

doi: 10.1007/bf00400498

handle: 11567/482363

An existence result for super Lie groups

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Abstract

Der Begriff der Super Lie Gruppe entstand beim Studium von Supersymmetrien physikalischer Wechselwirkungen. Super Lie Gruppen sind Gruppen in der Kategorie der superanalytischen Mannigfaltigkeiten. Letztere wiederum sind Mannigfaltigkeiten, die an (i.a. unendlichdimensionalen) sogenannten Banach-Grassmann Algebren modelliert sind. Das Hauptergebnis der Autoren ist eine geeignet modifizierte Fassung des dritten Fundamentalsatzes von Lie für Super Lie Gruppen, d.h. Existenz und Einzigkeit einer einfach zusammenhängenden Gruppe zu gegebener Algebra. - An einigen Stellen dieses Briefes hätte ich mir eine schärfere Fassung der Begriffe gewünscht.

Country

Italy

Related Organizations

University of Genoa
Italy

Keywords

global third Lie theorem, universal envelop, Group structures and generalizations on infinite-dimensional manifolds, Infinite-dimensional Lie groups and their Lie algebras: general properties, connected super Lie group, supermanifold, Infinite-dimensional Lie (super)algebras, Graded Lie (super)algebras, Banach-Grassmann algebra, super Lie module

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