The even, the odd, the superalgebras and their derivations

被引：0

作者：

Roger, Claude ^{[1
]}

机构：

[1] Univ Claude Bernard Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2018年 / 9卷 / 04期

关键词：

Super-algebras; super-geometry; GraBmann;

D O I：

10.1515/apam-2018-0083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an introduction to superalgebra, founded on the difference between even (commuting) and odd (anti-commuting) variables. We give a sketch of GraBmann'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.

引用

页码：287 / 294

页数：8

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