On Lie-isoclinic extensions of Leibniz n-algebras

Document Type

Article

Publication Date

6-1-2024

Publication Title

Indian Journal of Pure and Applied Mathematics

Abstract

In this paper, we study the notion of isoclinism on Lie-central extensions of Leibniz n-algebras. We provide several equivalent conditions under which Lie-central extensions of Leibniz n-algebras are Lie-isoclinic. Also, we show that each Lie-isoclinic class of Lie-central extensions of Leibniz n-algebras contains a Lie-stem extension. Finally, we study the concept of Schur Lie-multiplier on Leibniz n-algebras using their Lie-central extensions, and analyze some connection with the concepts of Lie-isoclinism and Lie-stem cover.

Volume Number

55

Issue Number

2

First Page

603

Last Page

612

DOI

10.1007/s13226-023-00392-4

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