Clifford algebras of forms of higher degrees (Q742332)

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scientific article; zbMATH DE number 6345695
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Clifford algebras of forms of higher degrees
scientific article; zbMATH DE number 6345695

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    Clifford algebras of forms of higher degrees (English)
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    18 September 2014
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    The author introduces the concept of Clifford algebras of polynomial forms of higher degree. It is shown that these algebras admit finite-dimensional representations (also called the linearizations of the polynomial forms). For the special case of a binary cubic form with no triple root, the Clifford algebra is an Azumaya algebra over its center.
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    Clifford algebras
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    polynomial forms
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    representations of Clifford algebras
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    linearizations of polynomial forms
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    Azumaya algebra
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