P. Niroomand

activity

20092024

most citedA note on the Schur multiplier of a nilpotent Lie algebra

53 citations · 284 across the 41 of their papers we have counts for

collaborators

41 papers

math.AC2024

On the Schur multiplier of nilpotent Lie superalgebra

Afsaneh Shamsaki, Peyman Niroomand

Let $L$ be an $(m ∣ n)$ -dimensional nilpotent Lie superalgebra where $m + n \geq 4$ and $n \geq 1$ . This paper classifies such nilpotent Lie superalgebras $L$ with a derived sub…

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.RA2022

On the nilpotent Lie superalgebras of small superbreadth

A. Shamsaki, P. Niroomand, M. Ladra

In this paper, we classify finite-dimensional nilpotent Lie superalgebras of superbreadth at most two.

math.RA2022

Characterizing nilpotent Lie algebras that satisfy on converse of the Schur's theorem

A. Shamsaki, P. Niroomand

Let $L$ be a finite dimensional nilpotent Lie algebra and $d$ be the minimal number generators for $L / Z (L) .$ It is known that $dim L / Z (L) = d dim L^{2} - t (L)$ for an integer…

math.RA2021★ 1 cited

On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7

A. Shamsaki, P. Niroomand

Let $L$ be an $n$ -dimensional non-abelian nilpotent Lie algebra and $s (L) = \frac{1}{2} (n - 1) (n - 2) + 1 - dim M (L)$ where $M (L)$ is the Schur multiplier of a L…

math.RA2020

On the triple tensor product of nilpotent Lie algebras

Afsaneh Shamsaki, Peyman Niroomand

In this paper, we give the explicit structure of $\otimes^{3} H$ and $\land^{3} H$ where $H$ is a generalized Heisenberg Lie algebra of rank at most $2.$ Moreover, for a n…

math.GR2019★ 1 cited

Bogomolov multiplier and the Lazard correspondence

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

In this paper we extend the notion of CP covers for groups to the field of Lie algebras, and show that despite the case of groups, all CP covers of a Lie algebra are isomorphic. Fi…

math.AC2019★ 2 cited

Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers, $s (L) = 5$

Afsaneh Shamsaki, Peyman Niroomand

It is known that the dimension of the Schur multiplier of a non-abelian nilpotent Lie algebra $L$ of dimension $n$ is equal to $\frac{1}{2} (n - 1) (n - 2) + 1 - s (L)$ for some $s (L) \geq 0$ …

math.AC2018★ 3 cited

Nilpotent Lie algebras having the Schur multiplier of maximum dimension

A. Shamsaki, P. Niroomand

Let $L$ be an $n$ -dimensional nilpotent Lie algebra of nilpotency class $c$ with the derived subalgebra of dimension $m$ . Recently, Rai proved that the dimension of Schur m…

math.RA2018★ 3 cited

Nilpotent Lie algebras of class $4$ with the derived subalgebra of dimension $3$

Faangis Johari, Peyman Niroomand, Mohsen Parvizi

The paper is devoted to give a full classification of all finite dimensional nilpotent Lie algebras $L$ of class $4$ such that $dim L^{2} = 3.$ Moreover, we classify the capable o…

math.GR2018

On the non-abelian tensor square of groups of order dividing $p^{5}$

T. J. Ghorbanzadeh, M. Parvizi, P. Niroomand

In this paper we consider all groups of order dividing $p^{5}$ . We obtain the explicit structure of the non-abelian tensor square, non-abelian exterior square, tensor center, exterio…

math.GR2018

A note on some special $p$ -groups

Farangis Johari, Peyman Niroomand

Recently Rai obtained an upper bound for the order of the Schur multiplier of a $d$ -generator special $p$ -group when its derived subgroup has the maximum value $ p^{\frac{1}{2}d(d-…

math.RA2018

Characterizing nilpotent Lie algebras rely on the dimension of their $2$ -nilpotent multipliers

Farangis Johari, Peyman Niroomand

There are some results on nilpotent Lie algebras $L$ investigate the structure of $L$ rely on the study of its $2$ -nilpotent multiplier. It is showed that the dimension of the…

math.RA2018

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 $d$ -generator generalized Heisenberg Lie algebras of rank…

math.GR2018

Generalized power graph of groups

Abbas Jafarzadeh, Peyman Niroomand, Mohsen Parvizi

The power graph of an arbitrary group $G$ is a simple graph with all elements of $G$ as its vertices and two vertices are adjacent if one is a positive power of another. In this pa…

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

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 $2$ , we compute some functors include the Schur multiplier, the exterior square and the tensor sq…

math.RA2017★ 4 cited

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

Farangis Johari, Peyman Niroomand, Mohsen Parvizi

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 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.AC2017★ 1 cited

On the dimension of Schur multiplier of Lie algebras of maximal class

Afsaneh Shamsaki, Peyman Niroomand

The paper is devoted to obtain an upper bound for the Schur multiplier of nilpotent Lie algebras of maximal class. It improves the later upper bounds on the Schur multiplier of suc…

math.GR2017★ 3 cited

$c$ -nilpotent multiplier of finite $p$ -groups

Farangis Johari, Mohsen Parvizi, Peyman Niroomand

The aim of this work is to find some exact sequences on the $c$ - nilpotent multiplier of a group $G$ . We also give an upper bound for the $c$ - nilpotent multiplier of finite $p$ -gr…

math.RA2017★ 14 cited

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 $G$ , when $G$ is a special $p$ -gro…

math.GR2017

Classification of finite $p$ -groups by the size of their Schur multipliers

Peyman Niroomand, Farangi Johari

Let $d (G)$ be the minimum number of elements required to generated a group $G .$ For a group $G$ of order $p^{n}$ with derived subgroup of order $p^{k}$ and $d (G) = d,$ we knew the o…

math.RA2017★ 4 cited

Some results on the Schur multiplier of nilpotent Lie algebras

Peyman Niroomand, Farangis Johari

For a non-abelian Lie algebra $L$ of dimension $n$ with the derived subalgebra of dimension $m$ , the first author earlier proved that the dimension of its Schur multiplier is boun…

On the Schur multiplier of nilpotent Lie superalgebra

The Bogomolov multiplier of Lie superalgebras

On the nilpotent Lie superalgebras of small superbreadth

Characterizing nilpotent Lie algebras that satisfy on converse of the Schur's theorem

On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7

On the triple tensor product of nilpotent Lie algebras

Bogomolov multiplier and the Lazard correspondence

Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers, s(L)=5

Nilpotent Lie algebras having the Schur multiplier of maximum dimension

Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3

On the non-abelian tensor square of groups of order dividing p5

A note on some special p-groups

Characterizing nilpotent Lie algebras rely on the dimension of their 2-nilpotent multipliers

The capability and certain functors of some nilpotent Lie algebras of class two

Generalized power graph of groups

The Bogomolov multiplier of Lie algebras

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

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

Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field

On the dimension of Schur multiplier of Lie algebras of maximal class

c-nilpotent multiplier of finite p-groups

The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras

Classification of finite p-groups by the size of their Schur multipliers

Some results on the Schur multiplier of nilpotent Lie algebras

Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers, $s (L) = 5$

Nilpotent Lie algebras of class $4$ with the derived subalgebra of dimension $3$

On the non-abelian tensor square of groups of order dividing $p^{5}$

A note on some special $p$ -groups

Characterizing nilpotent Lie algebras rely on the dimension of their $2$ -nilpotent multipliers

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

$c$ -nilpotent multiplier of finite $p$ -groups

Classification of finite $p$ -groups by the size of their Schur multipliers