Title: On Double Extensions of Quasi-Frobenius Lie Superalgebras with Degenerate Center
Speaker: Sofiane Bouarroudj
Affiliation: New York University Abu Dhabi
Time: June 19, 2025, 21:00-23:00 (GMT+8)
Meeting Link: Zoom Meeting
Abstract:
We develop the theory of symplectic double extensions for Lie superalgebras with degenerate centers. This construction represents a superization of recent work by Fischer while simultaneously generalizing our previous results. We establish a standard model for such double extensions, where the symplectic form can be either orthosymplectic or periplectic. Furthermore, we demonstrate that every double extension is naturally equivalent to one of these two standard types. This is joint work with Q. Ehret and Y. Maeda.
Speaker's Biography:
Sofiane Bouarroudj has been a Professor of Mathematics at New York University Abu Dhabi since 2012. His research focuses on the structure and representation theory of nonassociative algebras, particularly modular Lie superalgebras. He earned his BS from the University of Constantine (Algeria), MS from Université Paris VII (Denis Diderot, France), and PhD from Aix-Marseille University (France). Prior to joining NYUAD, he held postdoctoral positions at institutions in Belgium, France, Italy, and Japan. His work bridges algebraic structures with their applications in mathematical physics.
