On Leibniz superalgebras which even part is 𝔰𝔩2
Kh. A. MuratovaInstitute of Mathematics Academy of Science of Uzbekistan, 81, Mirzo Ulug’bek Street, 100170 Tashkent, UzbekistanAbror KhudoyberdiyevNational University of Uzbekistan, 4, University Street, 100174 Tashkent, Uzbekistan
Ochiq kirish: yoʻq
ABI
Annotatsiya
This paper deals with Leibniz superalgebras [Formula: see text] whose even part is a simple Lie algebra [Formula: see text]. We describe all such Leibniz superalgebras when odd part is an irreducible Leibniz bi-module on [Formula: see text]. We show that there exist such Leibniz superalgebras with nontrivial odd part only in case of [Formula: see text]
Hali tarjima qilinmagan