题目：P(N)-graded Lie super algebras
报告人：郜云
时 间：2017年6月30日15:00-16:00
地 点：3-309
报告人简介： 郜云，加拿大York大学教授，德国洪堡学者，中国科学院“百人计划”特聘教授，从事高维仿射李代数及其量子化的结构与表示的研究，在国际顶尖数学杂志上发表论文40多篇，其中包括两本美国数学会专著(Memoirs of AmericanMathematical Society 1997和2002)。
Abstract: We generalize the P(N)-graded Lie super algebras of Martinez- Zelmanov. This generalization is not so restrictive but sufficient enough so that we are able to have a classification for this generalized P(N)-graded Lie super-algebras. The upshot is that the generalized P(N)-graded Lie super-algebra L is centrally isogenous to a matrix Lie super-algebra coordinated by an associative super-algebra with a super- involution. Moreover, L is P(N)-graded if and only if the coordinate algebra R is commutative and the super-involution is trivial. This recovers Martinez-Zelmanov’s theorem for type P(N). The motivation of this generalization comes from the fermionic-bosonic module construction.
