报告人：郜云教授

              加拿大York大学

报告题目：Lie super-algebras of type P(n) (I) (II)

报告时间：2016年07月16日14:00

                 2016年07月16日 15:10

报告地点:海韵数理楼661

摘要：We generalize the P(n)-graded Lie superalgebras 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. Our result 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). We also obtain a generalization of Kac's coordinatization via Tits-Kantor-Koecher construction. Actually, the motivation of this generalization comes from the fermionic-bosonic module construction.

报告人简介:

      郜云教授是加拿大York大学教授。德国洪堡学者，国家杰出青年科学基金获得者（B类）。主要研究兴趣是无穷维李(超)代数、量子群和表示理论。

学院联系人：谭绍滨教授

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