Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras

Abstract

The Schur multiplier of a Lie algebra L, was introduced by Batten et al. (Commun Algebra 24:4319–4330, 1996). Salemkar and colleagues generalized the concept of the Schur multiplier to the c-nilpotent multiplier. Recently, the author introduced some exact sequences and gived some upper bounds for the dimension of the c-nilpotent multiplier of a pair of Lie algebras. In the present paper, we will extend these results. Moreover, we give some isomorphisms for the c-nilpotent multiplier of a pair of Lie algebras.