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From [Problem 1729, Groups of prime power order, Vol. 3], Berkovich et al.asked to obtain the Schur multiplier and the representation of a group $G$,when $G$ is a special $p$-group minimally generated by $d$ elements and$|G'|=p^{\frac{1}{2}d(d-1)}$. Since there are analogies between groups and Liealgebras, we intend to give an answer to this question similarly for nilpotentLie algebras. Furthermore, we give some results about the tensor square and theSchur multiplier of some nilpotent Lie algebras of class two.

The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras