Differential algebras and simple Jordan superalgebras |
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Authors: | V N Zhelyabin |
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Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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Abstract: | In 14], a new example is constructed of a unital simple special Jordan superalgebra J over the field of reals. It turns out that J is a subsuperalgebra of a Jordan superalgebra of vector type but it cannot be isomorphic to a superalgebra of such a type.
Moreover, the superalgebra of fractions of J is isomorphic to a Jordan superalgebra of vector type. In the present article, we find a similar example of a Jordan superalgebra.
It is constructed over a field of characteristic 0 in which the equation t
2 + 1 = 0 has no solutions. |
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Keywords: | |
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