李预代数
Lie prealgebras
摘要：
我们介绍了一个推广的李代数内的非齐次二次代数的理论，并指出其相关的理论量子群。特别是阐明了量子群上的微分学与Positselski的Koszul对偶之间的关系。
英文摘要：
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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