14 citations · 33 across the 13 of their papers we have counts for
17 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 \( L/Z(L) \)…
Subinvariance in Leibniz Algebras
Kailash C. Misra, Ernie Stitzinger, Xingjian Yu
Leibniz algebras are certain generalizations of Lie algebras. Motivated by the concept of subinvariance in group theory, Schenkman studied properties of subinvariant subalgebras of…
Companion Lie Algebras of Leibniz Algebras
Allison McAlister, Ernie Stitzinger, Ashley White
In extending results from Lie to Leibniz algebras, it is helpful to have techniques which translate results from the former to the latter without having to repeat the (perhaps modi…
On Classification of Four Dimensional Nilpotent Leibniz Algebras
Ismail Demir, Kailash C. Misra, Ernie Stitzinger
Leibniz algebras are certain generalization of Lie algebras. In this paper we give the classification of four dimensional non-Lie nilpotent Leibniz algebras. We use the canonical f…
Frattini Properties and Nilpotency in Leibniz Algebras
Allison McAlister, Kristen Stagg Rovira, Ernie Stitzinger
Ideals that share properties with the Frattini ideal of a Leibniz algebra are studied. Similar investigations have been considered in group theory. However most of the results are…
Triangulable Leibniz Algebras
Tiffany Burch, Ernie Stitzinger
A converse to Lie's theorem for Leibniz algebras is found and generalized. The result is used to find cases in which the generalized property, called triangulable, is 2-recognizeab…