Flat quasi-Frobenius Lie superalgebras

Speaker：Sofiane Bouarroudj (NYU-Abu Dhabi）

Time：2026-5-6 10:30

Location：Conference Room S102 at Experiment Building at Haiyun Campus

Abstract:

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.