On the definition of superspace
type: Item
instance of: scholarly article
title: On the definition of superspace
zbMATH Open document ID: 0575.58005
DOI: 10.1007/BF01018248
published in: Theoretical and Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The author provides a definition of superspace without reference to sheaf theory. He also discusses supergroups, supermanifolds, subsuperspaces. The new definition is based on taking points in the even and odd parts of Grassmann algebras, and relating them properly when a homomorphism between two algebras is given. After a natural reduction, this definition turns out to be equivalent to the one due to F. A. Berezin and D. A. Lejtes involving sheaf theory (cf. the article by \textit{A. A. Voronov} [ibid. 60, No.1, 43-48 (1984; Zbl 0569.58005)].
Mathematics Subject Classification ID: 58A99
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 3919392
zbMATH Keywords: superspace
zbMATH Keywords: supergroups
zbMATH Keywords: supermanifolds
zbMATH Keywords: subsuperspaces
author: Albert Schwarz
reviewed by: Jean Pierre Bourguignon
MaRDI profile type: Publication
cites work: Q5530857
cites work: Supergravity, complex geometry and G-structures
full work available at URL: https://doi.org/10.1007/bf01018248
OpenAlex ID: W2043745712
description: scientific article; zbMATH DE number 3919392