Certain functors of nilpotent Lie algebra with the derived subalgebra of dimension two

Abstract

By considering the nilpotent Lie algebra with the derived subalgebra of dimension $2$, we compute some functors include the Schur multiplier, the exterior square and the tensor square of these Lie algebras. We also give the corank of such Lie algebras.

Cited by in corpus (5)

• Capability of nilpotent Lie algebras of small dimension
• The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two
• On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7
• On the triple tensor product of nilpotent Lie algebras
• The capability and certain functors of some nilpotent Lie algebras of class two