Alexandre Pojidaev
IM SB RAS, Russia
Nonsupercommutative Jordan superalgebras of capacity n\geq 2.
Resumo: We prove the Coordinatization Theorem for the nonsupercommutative Jordan superalgebras of capacity n\geq 3, describing such algebras. We prove that the symmetrized Jordan superalgebra for a simple finite dimensional nonsupercommutative Jordan superalgebra of characteristic 0 and capacity n>1 is simple. Modulo a ``nodal'' case, we classify the simple central finite dimensional nonsupercommutative Jordan superalgebras of characteristic 0. This is the joint work with I. P. Shestakov.