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The even, the odd, the superalgebras and their derivations

Authors
  • Roger, Claude
Type
Published Article
Journal
Advances in Pure and Applied Mathematics
Publisher
De Gruyter
Publication Date
Sep 10, 2018
Volume
9
Issue
4
Pages
287–294
Identifiers
DOI: 10.1515/apam-2018-0083
Source
De Gruyter
Keywords
License
Yellow

Abstract

We give an introduction to superalgebra, founded on the difference between even (commuting) and odd (anti-commuting) variables. We give a sketch of Graßmann’s work, and show how derivations of those structures induce various superalgebra structures, Lie superalgebras of Cartan type being obtained with even derivations, while odd derivations induce Jordan-type superalgebras.

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