Lie prealgebras
arXiv:1005.4576
Abstract
We introduce a generalization of Lie algebras within the theory of nonhomogeneous quadratic algebras and point out its relevance in the theory of quantum groups. In particular the relation between the differential calculus on quantum group and the Koszul duality due to Positselski is made apparent.
31 pages. Some misprints corrected. Final version to appear in a special volume of the Contemporary Mathematics series dedicated to Henri Moscovici