Exceptional Lie superalgebras as symmetries of differential superequations

Boris Kruglikov (UiT the Arctic University of Norway)

Wed Dec 9, 16:20-18:00 (2 months from now)

Abstract: Every simple Lie algebra can be realized as complete symmetry of a differential equation. For G2 this goes back to E.Cartan and F.Engel papers of 1893. For others this was done in a uniform way by D.The and independently by D.V.Alekseevsky, J.Gutt, G.Manno, G.Moreno in 2016. A generalization to superalgebras was done first for G3 in 2019. I will present geometric realizations of exceptional Lie superalgebras as super-symmetry. Based on joint works with A.Santi, D.The, A.Llabres, A.Escofet.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic


Geometry of differential equations seminar

Organizer: GDEq.org*
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