A. Shamsaki

activity

20172024

most citedNilpotent Lie algebras having the Schur multiplier of maximum dimension

3 citations · 7 across the 12 of their papers we have counts for

collaborators

12 papers

math.AC2024

On the non-commuting graph associated to a finite-dimensional Lie algebra

Akram Chareh khah moghaddam, Ahmad Erfanian, Afsaneh Shamsaki

In this paper, we define the non-commuting graph associated to a Lie algebra L and obtain some basic graph properties such as connectivity, diameter, girth, Hamiltonian and Euleria…

math.AG2024

On the values of commutativity degree of Lie algebras

Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi

In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asympt…

math.AG2024

On the commutativity degree of a finite-dimensional Lie algebra

Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi

In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it. Moreover, we study some re…

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

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.AC2022

On converse of the Schur's theorem for nilpotent Lie superalgebras

A. Shamsaki, P. Niroomand, E. Stitzinger

In this paper, we establish a converse to Schur's theorem for Lie superalgebras $ L $, focusing on cases where the minimal generator number pairs $(p \vert q)$ of $ L/Z(L) $…

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.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.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…

On the non-commuting graph associated to a finite-dimensional Lie algebra

On the values of commutativity degree of Lie algebras

On the commutativity degree of a finite-dimensional Lie algebra

On the Schur multiplier of nilpotent Lie superalgebra

On the nilpotent Lie superalgebras of small superbreadth

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

On converse of the Schur's theorem for nilpotent Lie superalgebras

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

On the triple tensor product of nilpotent Lie algebras

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

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

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