Notes on Leibniz n-algebras

We analyze behaviors of generalized forgetful and Daletskii-Takhtajan's functors on perfect objects and crossed modules of Leibniz n-algebras. Then we give applications to homology and universal central extensions of Leibniz n-algebras. (c) 2023 Elsevier B.V. All rights reserved.

Automated summary

This paper analyzes the behaviors of generalized forgetful and Daletskii-Takhtajan's functors on perfect objects and crossed modules of Leibniz n-algebras, and then applies them to the homology and universal central extensions of Leibniz n-algebras.