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June 2004 A non-abelian tensor product and universal central extension of Leibniz $n$-algebra
J. M. Casas
Bull. Belg. Math. Soc. Simon Stevin 11(2): 259-270 (June 2004). DOI: 10.36045/bbms/1086969316

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.

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J. M. Casas. "A non-abelian tensor product and universal central extension of Leibniz $n$-algebra." Bull. Belg. Math. Soc. Simon Stevin 11 (2) 259 - 270, June 2004. https://doi.org/10.36045/bbms/1086969316

Information

Published: June 2004
First available in Project Euclid: 11 June 2004

zbMATH: 1062.17001
MathSciNet: MR2080426
Digital Object Identifier: 10.36045/bbms/1086969316

Subjects:
Primary: 17 A 32

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

Rights: Copyright © 2004 The Belgian Mathematical Society

Vol.11 • No. 2 • June 2004
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