an:02020805
Zbl 1106.17309
Koulibaly, Akry; Ouedraogo, Marie Fran??oise
Lie triple supersystems associated with Maltsev superalgebras
FR
Afr. Mat., S??r. III 14, 19-30 (2002).
00088211
2002
j
17D10 17A40 17A70
Mal'tsev superalgebras; Mal'tsev super-representations; Lie triple supersystems
The authors continue their study on Mal'tsev superalgebras on a field \(K\) of characteristic zero [see Afr. Mat., S??r. III 14, 5--17 (2002; Zbl 1106.17308); \textit{A. Ouedraogo}, ibid. 14, 45--51 (2002; Zbl 1034.49046)]. The properties of Mal'tsev super-representations and weak super representation are given. The notion of representation of Lie triple super systems is defined and it is proved that a super-representation of a Mal'tsev superalgebra \(M\) is a super-representation of the Lie triple super systems associated with \(M\).
Maria-Sanziana Pop (Baia Mare)
Zbl 1106.17308; Zbl 1034.49046