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
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
收藏
页码:287 / 294
页数:8
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