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On multipliers of pairs of Lie superalgebras
Hesam Safa
Abstract
We study the notion of the Schur multiplierM(N;L) of a pair (N;L) of Lie superalgebras and obtain some upper bounds concerning dimensions. Moreover, we characterize the pairs of finite dimensional (nilpotent) Lie superalgebras for which
dim M(N;L) = 1/2 ((m + n)2 + (n - m)) + (m + n) dim (L/N) - t,
for t = 0; 1, where dimN = (mjn).
