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The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two
F. Johari, A. Shamsaki, P. Niroomand
In this paper, the structure of all finite-dimensional nilpotent Lie algebras of class two with derived subalgebra of dimension two over an arbitrary field is determ…
Nilpotent Lie algebras of class with the derived subalgebra of dimension
Faangis Johari, Peyman Niroomand, Mohsen Parvizi
The paper is devoted to give a full classification of all finite dimensional nilpotent Lie algebras of class such that Moreover, we classify the capable o…
Characterizing nilpotent Lie algebras rely on the dimension of their -nilpotent multipliers
Farangis Johari, Peyman Niroomand
There are some results on nilpotent Lie algebras investigate the structure of rely on the study of its -nilpotent multiplier. It is showed that the dimension of the…
The capability and certain functors of some nilpotent Lie algebras of class two
Farangis Johari, Peyman Niroomand
Recently, the authors obtained the Schur multiplier, the non-abelian tensor square and the non-abelian exterior square of -generator generalized Heisenberg Lie algebras of rank…
Certain functors of nilpotent Lie algebra with the derived subalgebra of dimension two
Farngis Johari, Peyman Niroomand
By considering the nilpotent Lie algebra with the derived subalgebra of dimension , we compute some functors include the Schur multiplier, the exterior square and the tensor sq…
-nilpotent multiplier and -capability of the direct sum of Lie algebras
Farangis Johari, Peyman Niroomand, Mohsen Parvizi
In this paper, we determine the behavior of the -nilpotent multiplier of Lie algebras with respect to the direct sums. Then we give some results on the -capability of the dir…
Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field
Peyman Niroomand, Farangis Johari, Mohsen Parvizi
In this paper, we classify all capable nilpotent Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Moreover, the explicit structure of such Lie algeb…
The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras
Farangis Johari, Peyman Niroomand
From [Problem 1729, Groups of prime power order, Vol. 3], Berkovich et al. asked to obtain the Schur multiplier and the representation of a group , when is a special -gro…
Some results on the Schur multiplier of nilpotent Lie algebras
Peyman Niroomand, Farangis Johari
For a non-abelian Lie algebra of dimension with the derived subalgebra of dimension , the first author earlier proved that the dimension of its Schur multiplier is boun…
Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal
P. Niroomand, F. Johari, M. Parvizi +1
We prove a theorem of splitting for the nonabelian tensor product of a pair of Lie algebras and in terms of its diagonal ideal and of th…