5 papers
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 \( L/Z(L) \)…
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…
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…
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…
On the Schur multiplier of nilpotent Lie superalgebra
Afsaneh Shamsaki, Peyman Niroomand
Let be an -dimensional nilpotent Lie superalgebra where and . This paper classifies such nilpotent Lie superalgebras with a derived sub…