报告题目:Noncommutativedifferentials and pre-Lie algebras
报告人: 陶文清 ,华中科技大学
时间:
地点:管研楼1518
摘要:
Inthis 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) ofwhich is quantisation. This approach is very dierent from the algebraicdeformation 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.
Alarge class of examples of such noncommutative deformation will be given bypre-Lie algebra, an (not necessarily associative) algebra with product suchthat (ab)c-(ba)c = a(bc)-b(ac). This is a joint work with Shahn Majid.
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