On the Schur multiplier of nilpotent Lie superalgebra

Let L be an (m n) -dimensional nilpotent Lie superalgebra where m + n 4 and n 1. This paper classifies such nilpotent Lie superalgebras L with a derived subsuperalgebra of dimension m+n-2 such that (L) = m + 2n - 2 - M (L), where (L) \0, 1, 2\ and M (L) denotes the Schur multiplier of L. Furthermore, we show that all these superalgebras are capable.