Homology with coefficients of Leibniz n-algebras

  • Casas J
  • 3


    Mendeley users who have this article in their library.
  • 1


    Citations of this article.


Co-representations of Leibniz n-algebras are defined as left modules over the universal enveloping algebra. We define the homology of a Leibniz n-algebra L with coefficients in a co-representation M as the homology of the Leibniz complex of L⊗ n - 1over the co-representation M ⊗ L. We prove the cancellation of the homology over free objects and the generalization of the following isomorphism in Leibniz homology H L{star operator}(L, L) ≅ H L{star operator} + 1(L, K) from Leibniz algebras to Leibniz n-algebras. To cite this article: J.M. Casas, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • José Manuel Casas

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free