Notes on Leibniz $n$-algebras
Jos\'e Manuel Casas, Emzar Khmaladze, Manuel Ladra

TL;DR
This paper investigates the properties of certain functors on Leibniz n-algebras and explores their implications for homology and universal central extensions, advancing the theoretical understanding of these algebraic structures.
Contribution
It provides new insights into the behavior of forgetful and Daletskii-Takhtajan functors on Leibniz n-algebras and applies these to homology and central extensions.
Findings
Analysis of functor behaviors on perfect objects and crossed modules
Applications to homology of Leibniz n-algebras
Results on universal central extensions
Abstract
We analyze behaviors of generalized forgetful and Daletskii-Takhtajan's functors on perfect objects and crossed modules of Leibniz -algebras. Then we give applications to homology and universal central extensions of Leibniz -algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models
