Title of article :
The structure of a pair of nilpotent Lie algebras
Author/Authors :
Arabyani, Homayoon Department of Mathematics - Neyshabur Branch, Islamic Azad University, Neyshabur, Iran , Hosseini Fadravi, Hadi Department of Mathematics - Neyshabur Branch, Islamic Azad University, Neyshabur, Iran
Abstract :
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 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. 2014) we prove some properties of a pair of nilpotent Lie algebras and generalize results for a pair of non-abelian nilpotent Lie algebras.
Keywords :
Nilpotent Lie algebra , Schur multiplier , Pair of Lie algebras
Journal title :
Astroparticle Physics
