Bulletin of the Belgian Mathematical Society - Simon Stevin

A non-abelian tensor product and universal central extension of Leibniz $n$-algebra

J. M. Casas

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Abstract

A non-abelian tensor product for Leibniz $n$-algebras is introduced as a generalization of the non-abelian tensor product for Leibniz algebras introduced by Kurdiani and Pirashvili. We use it to construct the universal central extension of a perfect Leibniz $n$-algebra.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 11, Number 2 (2004), 259-270.

Dates
First available in Project Euclid: 11 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1086969316

Digital Object Identifier
doi:10.36045/bbms/1086969316

Mathematical Reviews number (MathSciNet)
MR2080426

Zentralblatt MATH identifier
1062.17001

Subjects
Primary: 17 A 32

Keywords
Leibniz $n$-algebra Leibniz (co)homology universal central extension commutator

Citation

Casas, J. M. A non-abelian tensor product and universal central extension of Leibniz $n$-algebra. Bull. Belg. Math. Soc. Simon Stevin 11 (2004), no. 2, 259--270. doi:10.36045/bbms/1086969316. https://projecteuclid.org/euclid.bbms/1086969316


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