Noncommutative Jordan superalgebras of degree <Emphasis Type="Italic">n</Emphasis> > 2 |
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| Authors: | A P Pozhidaev P Shestakov |
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| Institution: | 1.Sobolev Institute of Mathematics,Siberian Branch, Russian Academy of Sciences,Novosibirsk,Russia;2.Universidade de S?o Paulo,S?o Paulo-SEP,Basil |
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| Abstract: | We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative
Jordan superalgebra of characteristic 0 and degree n > 1 is simple. Modulo a “nodal” case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of
characteristic 0. |
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