P. Niroomand

collaborators

3 papers

math.RA2024

On the Schur multipliers of Lie superalgebras of maximal class

Z. Araghi Rostami, P. Niroomand

We categorize all non-abelian nilpotent Lie superalgebras of dimension $(m ∣ n)$ , where $1 \leq s (L) \leq 10$ , and $s (L)$ is a non-negative integer defined by Nayak. Furthermore, we cl…

math.RA2024

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.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…