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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Showing 2019Show all

2 papers · 1 filter

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 $s (L) \geq 0$ …

Bogomolov multiplier and the Lazard correspondence

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

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