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吴文俊数学重点实验室代数学系列报告之九十【陶文清】
报告题目:Noncommutative differentials and pre-Lie algebras

报告人: 陶文清 ,华中科技大学

时间:6月29日16:00-17:00

地点:管研楼1518

摘要: 

In this talk, I will present a fairly natural and easy introduction to deform a (commutative) associative algebra. Given an associative noncommutative algebra, we analysis the classical structures (like Poisson bracket, connection, etc) of which is quantisation. This approach is very dierent from the algebraic deformation theory of associative algebras introduced by Gerstenhaber (1964). In my case, I will focus on deformation of classical dierential graded algebras (a super-commutative super Hopf algebra) over Poisson-Lie group.

A large class of examples of such noncommutative deformation will be given by pre-Lie algebra, an (not necessarily associative) algebra with product such that (ab)c-(ba)c = a(bc)-b(ac). This is a joint work with Shahn Majid.

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中国科学院吴文俊数学重点实验室