Cup-product for Leibniz Cohomology and Dual Leibniz Algebras

  title={Cup-product for Leibniz Cohomology and Dual Leibniz Algebras},
  author={Jean-Louis LODAY},
  • Jean-Louis LODAY
  • Published 1995
For any Lie algebra g there is a notion of Leibniz cohomology HL(g), which is defined like the classical Lie cohomology, but with the n-th tensor product g⊗n in place of the n-th exterior product Λ g. This Leibniz cohomology is defined on a larger class of algebras : the Leibniz algebras (cf. [L1], [L2]). A Leibniz algebra is a vector space equipped with a product satisfying a variation of the Jacobi identity : 
Highly Cited
This paper has 34 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-4 of 4 references


  • LODAY, J.-L., Cyclic homology, Grund. math. Wiss.
  • Springer,
  • 1992
Highly Influential
6 Excerpts

Koszul duality for operads

  • 1993

Une version non commutative des algèbres de Lie : les algèbres de Leibniz, L’Enseignement Math

  • LODAY, J.-L
  • 1993

Similar Papers

Loading similar papers…