Abstract:

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  superde
rivation and automorphism group for 2-dimensional Lie supertriple systems over complex number field.

Key words:  Lie supertriple systems, solvable Lie supertriple systems, superderivation, automorphism group