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Abstract: We introduce a generalization of Lie algebras within the theory ofnonhomogeneous quadratic algebras and point out its relevance in the theory ofquantum groups. In particular the relation between the differential calculus onquantum group and the Koszul duality due to Positselski is made apparent.



Author: Michel Dubois-Violette, Giovanni Landi

Source: https://arxiv.org/







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