Classification of Finite Dimensional Nilpotent Lie Superalgebras by their Multipliers

Let L be a nilpotent Lie superalgebra of dimension (m | n) and, where M(L) denotes the Schur multiplier of L .Here s(L) 0 and the structure of all nonabelian nilpotent Lie superalgebras with s(L) = 0 is known [23].This paper is devoted to obtain all nilpotent Lie superalgebras L when s(L) 2. Further, we apply those results to list all non-abelian nilpotent Lie superalgebras L with t(L) 4 .