Berezinian measures and graded Haar theory
type: Item
instance of: scholarly article
title: Berezinian measures and graded Haar theory
zbMATH Open document ID: 0705.58007
DOI: 10.1016/0001-8708(89)90050-9
author: Jaime Muñoz Masqué
author: Daniel Hernandez Ruiperez
published in: Advances in Mathematics
publication date: 1989-01-01T00:00:00Z
review text: In a previous paper the authors give an intrinsic construction of the Berezinian sheaf for a graded differentiable manifold and, using it, a more simple description of the Berezinian integral. The aim of this paper is to extend that construction to \({\mathbb{Z}}_ 2\)- graded (or super) topological spaces, and to use this to prove that for a graded topological group, the unique (up to scalar factors) Berezinian measure invariant by graded translations is the Berezinian measure associated with the ordinary Haar measure of the group.
Mathematics Subject Classification ID: 58C35
Mathematics Subject Classification ID: 28C10
zbMATH DE Number: 4157515
zbMATH Keywords: graded Haar theory
zbMATH Keywords: Berezinian sheaf
zbMATH Keywords: Berezinian measure
reviewed by: I. Mihuţ
MaRDI profile type: Publication
full work available at URL: 0001-8708(89)90050-9
OpenAlex ID: W2009378659
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description: scientific article; zbMATH DE number 4157515