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20102024
most citedCapability of Nilpotent Lie algebras with small derived Subalgebra

50 citations · 93 across the 23 of their papers we have counts for

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8 papers · 1 filter

math.RA2022

The Bogomolov multiplier of Lie superalgebras

Z. Araghi Rostami, P. Niroomand, M. Parviz

In this paper, we extend the notion of the Bogomolov multiplier and the commutativity preserving extension to Lie superalgebras. Moreover, we compute the Bogomolov multiplier of He…

math.RA2018★ 3 cited

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…

math.RA2018★ 4 cited

The Bogomolov multiplier of Lie algebras

Zeinab Araghi Rostami, Mohsen Parvizi, Peyman Niroomand

In this paper, we extend the notion of the Bogomolov multipliers and the CP-extensions to Lie algebras. Then we compute the Bogomolov multipliers for Abelian, Heisenberg and nilpot…

math.RA2017★ 4 cited

-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…

math.RA2017★ 14 cited

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…

math.RA2016★ 10 cited

- capability and - nilpotent multiplier of finite dimensional nilpotent Lie algebras

P. Niroomand, M. Parvizi

In the present context, we investigate to obtain some more results about -nilpotent multiplier of a finite dimensional nilpotent Lie algebra . For inst…