Lie prealgebras
Quantum Algebra
2010-08-02 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Rings and Algebras
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.
Cite
@article{arxiv.1005.4576,
title = {Lie prealgebras},
author = {Michel Dubois-Violette and Giovanni Landi},
journal= {arXiv preprint arXiv:1005.4576},
year = {2010}
}
Comments
31 pages. Some misprints corrected. Final version to appear in a special volume of the Contemporary Mathematics series dedicated to Henri Moscovici