3 citations · 7 across the 12 of their papers we have counts for
6 papers · 1 filter
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 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…
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 \( L/Z(L) \)…
Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers,
Afsaneh Shamsaki, Peyman Niroomand
It is known that the dimension of the Schur multiplier of a non-abelian nilpotent Lie algebra of dimension is equal to for some …
Nilpotent Lie algebras having the Schur multiplier of maximum dimension
A. Shamsaki, P. Niroomand
Let be an -dimensional nilpotent Lie algebra of nilpotency class with the derived subalgebra of dimension . Recently, Rai proved that the dimension of Schur m…
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…