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

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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.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 Schur multiplier of nilpotent Lie superalgebra

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, $s (L) = 5$