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Licensed Unlicensed Requires Authentication Published by De Gruyter September 10, 2018

The even, the odd, the superalgebras and their derivations

  • Claude Roger EMAIL logo

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.

MSC 2010: 17B60; 17B65; 17B68; 81Q60

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Received: 2018-05-14
Accepted: 2018-07-27
Published Online: 2018-09-10
Published in Print: 2018-10-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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