$c$-nilpotent multiplier and $c$-capability of the direct sum of Lie algebras

Abstract

In this paper, we determine the behavior of the $c$-nilpotent multiplier of Lie algebras with respect to the direct sums. Then we give some results on the $c$-capability of the direct sum of finite dimensional Lie algebras.

References in corpus (2)

• A note on the Schur multiplier of a nilpotent Lie algebra
• Capability of Nilpotent Lie algebras with small derived Subalgebra