November 2024 Extensibility for derivations of abelian extensions of Leibniz $n$-algebras and Wells exact sequence
Emzar Khmaladze
Adv. Studies: Euro-Tbilisi Math. J. 17(3): 79-91 (November 2024). DOI: 10.32513/asetmj/1932200824030

Abstract

We study the extensibility problem for a pair of derivations associated with an abelian extension of Leibniz $n$-algebras, and derive an exact sequence of the Wells type.

Funding Statement

The author was supported by Shota Rustaveli National Science Foundation of Georgia, grant FR-23-271.

Citation

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Emzar Khmaladze. "Extensibility for derivations of abelian extensions of Leibniz $n$-algebras and Wells exact sequence." Adv. Studies: Euro-Tbilisi Math. J. 17 (3) 79 - 91, November 2024. https://doi.org/10.32513/asetmj/1932200824030

Information

Received: 21 May 2024; Accepted: 6 July 2024; Published: November 2024
First available in Project Euclid: 12 November 2024

Digital Object Identifier: 10.32513/asetmj/1932200824030

Subjects:
Primary: 16E40
Secondary: 16E99 , 16W99

Keywords: abelian extension , Cohomology , derivation‎ , Leibniz $n$-algebra , Wells map

Rights: Copyright © 2024 Tbilisi Centre for Mathematical Sciences

Vol.17 • No. 3 • November 2024
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