On Lie-isoclinic Leibniz algebras
G. R. Biyogmam, J. M. Casas
TL;DR
This paper introduces the concept of Lie-isoclinic Leibniz algebras, explores their properties, and examines the relationship between Lie-isoclinism and the Schur Lie-multiplier, advancing the understanding of Leibniz algebra classifications.
Contribution
It defines Lie-isoclinic Leibniz algebras, provides equivalent conditions for Lie-isoclinism, and investigates the connection with the Schur Lie-multiplier, offering new tools for algebra classification.
Findings
Characterization of Lie-isoclinic Leibniz algebras
Equivalent conditions for Lie-isoclinism
Relationship between Lie-isoclinism and Schur Lie-multiplier
Abstract
In this paper we study the notion of isoclinism on Lie-central extensions of Leibniz algebras, this yields to introduce the concept of Lie-isoclinic Leibniz algebras. We provide several equivalent conditions under which Leibniz algebras are Lie-isoclinic. We also define the concept of Schur Lie-multiplier and analyze its connection with Lie-isoclinism.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology