Rational Hilbert series of relatively free Jordan algebras (Q1120659)

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scientific article; zbMATH DE number 4101429
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Rational Hilbert series of relatively free Jordan algebras
scientific article; zbMATH DE number 4101429

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    Rational Hilbert series of relatively free Jordan algebras (English)
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    1989
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    Let V be an infinite dimensional vector space with a nondegenerate symmetric bilinear form over a field K of characteristic zero and \(G=V+K\) be the Jordan algebra of this form. It is proved that the subvarieties of the variety of Jordan algebras generated by G have rational Hilbert series.
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    relatively free Jordan algebras
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    bilinear form
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    variety of Jordan algebras
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    rational Hilbert series
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