低维李超三系的分类

Classification of Low Dimensional Lie Supertriple Systems

给出了任意域下低维李超三系的分类:一维李超三系有2类、二维李超三系有7类、三维李超三系有9类.同时,刻画了复数域下二维李超三系的超导子及自同构群的一些性质.

The author presented the classification of low dimensional Lie supertriple systems over a field of arbitrary characteristic, i. e. , 1-dimensional Lie supertriple systems, 2-dimensional Lie supertriple systems and 3-dimensional Lie supertriple systems are divided into two classes, seven classes and nine classes, respectively. Moreover, the author constructed superderivation and automorphism group for 2-dimensional Lie supertriple systems over complex number field.