Flat quasi-Frobenius Lie superalgebras

报告人：Sofiane Bouarroudj（纽约大学阿布扎比分校）

时  间：2026年5月6日10:30

地  点：海韵园实验楼S102

内容摘要:

We study flat quasi-Frobenius Lie superalgebras and introduce the notion of a flat double extension. We prove that the double extension process characterizes such superalgebras. More precisely, every flat orthosymplectic (resp. periplectic) quasi-Frobenius Lie superalgebra can be obtained by a sequence of flat double extensions starting from an abelian one (resp. the trivial one). Moreover, we show that every flat quasi-Frobenius Lie superalgebra is nilpotent with a degenerate center. We apply our results to obtain a complete classification of such superalgebras of total dimension at most five. This is a joint work with H. El Ouali.

个人简介：

Sofiane Bouarroudj, a professor at NYU-Abu Dhabi. His research field is the structure theory of Lie superalgebras.

联系人：王清