Seminar第1557期 Modular Lie superalgebras of Cartan type and Lie super triple systems

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报告主题:Modular Lie superalgebras of Cartan type and Lie super triple systems
报告人:张庆成 教授 (东北师范大学)
报告时间:2017年 12月16日(周六)16:30
报告地点:校本部G507
邀请人:景乃桓
 
报告摘要:In this talk, we will introduce two parts, modular Lie superalgebras of Cartan type and Lie super triple systems.
On modular Lie superalgebras of Cartan type, we construct six modular Lie superalgebras of Cartan type. It turns out that they are pairwise non-isomorphic simple Lie superalgebras. We then obtain derivation superalgebras of modular Lie superalgebras of Cartan type. In particular, we establish left-symmetric superalgebras on modular Lie superalgebras of W type.On Lie super triple systems, we study generalized derivations of weight $\lamda$ and generalized Jordan derivations of weight $\lamda$ of Lie super triple systems. Moreover, we give the notion of quadratic Lie super triple systems and obtain decomposition and uniqueness theorem of quadratic Lie super triple systems.

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