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

From Berkovich and Janko [3, Problem 1729] 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′|=p12d(d−1). Here, we intend to give an answer to this question similarly for nilpotent Lie algebras. Furthermore, we give some results about the tensor square and the Schur multiplier of some nilpotent Lie algebras of class two.