Lie -isoclinism in Leibniz n-algebras

Authors

Hesam Safa, University of Bojnord, Iran
Guy R. Biyogmam, Georgia College & State University

Document Type

Article

Publication Date

12-1-2023

Publication Title

Sao Paulo Journal of Mathematical Sciences

Abstract

We study the notion of Lie-isoclinism on Leibniz n-algebras. This is isoclinism on Leibniz n-algebras relative to Filippov algebras. We provide equivalent conditions under which Leibniz n-algebras are Lie-isoclinic. Also, we provide a characterization of Lie-stem Leibniz n-algebras, and show that each Lie-isoclinic class of Leibniz n-algebras contains a Lie-stem Leibniz n-algebra. Moreover, this Lie-stem Leibniz n-algebra has minimum dimension among finite dimensional Leibniz n-algebras in that class. Finally, we define the notion of factor sets on Leibniz n-algebras and analyze their connection with Lie-stem Leibniz n-algebras.

Department

Mathematics

Volume Number

17

Issue Number

2

First Page

774

Last Page

788

DOI

10.1007/s40863-022-00302-2

Recommended Citation

Safa, Hesam and Biyogmam, Guy R., "Lie -isoclinism in Leibniz n-algebras" (2023). Faculty and Staff Works. 388.
https://kb.gcsu.edu/fac-staff/388