Seminarium KMMF "Teoria Dwoistości"
sala 1.02, ul. Pasteura 5
Oleksii Kotov (University of Hradec Králové)
Kantor algebra, Leibniz algebras and vector fields on the path space
The topic of this talk is the Kantor algebra as a natural extension of the free Lie (super)algebra. It will be shown how the Kantor algebra encodes information about Leibniz algebras and homotopy Leibniz algebras, and how it is embedded in the Lie algebra of (super) vector fields on the path (super)space.