Lie prealgebras

Details Lie prealgebras Lie prealgebras

2010-05-25

arxiv.org/abs/1005.4576v2

Mathematics

Quantum Algebra

31 pages. Some misprints corrected. Final version to appear in a special volume of the Contemporary Mathematics series dedicat

Scientific paper

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.

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