Homology with Trivial Coefficients of Leibniz n-Algebras

Abstract

We introduce homology K-vector spaces with trivial coefficients for Leibniz n-algebras and we obtain exact sequences relating them. As a consequence we get a Hopf formula and several results on central extensions of Leibniz n-algebras.

Key Words:

• Leibniz n-algebra
• (co)-representation
• Leibniz(co)homology
• Central extension

Acknowledgment

Supported by Xunta de Galicia, Grant PGIDT00PXI37101PR.