The structure of a pair of nilpotent Lie algebras

Assume that (N,L), is a pair of finite dimensional nilpotent Lie algebras, in which L is non-abelian and N is an ideal in L and also \mathcal{M}(N,L) is the Schur multiplier of the pair (N,L). Motivated by characterization of the pairs (N,L) of finite dimensional nilpotent Lie algebras by their Schur multipliers (Arabyani, et al. ۲۰۱۴) we prove some properties of a pair of nilpotent Lie algebras and generalize results for a pair of non-abelian nilpotent Lie algebras.

کلیدواژه ها:

Nilpotent Lie algebra ، Pair of Lie algebras ، Schur multiplier