Clifford algebras of forms of higher degrees (Q742332)
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scientific article; zbMATH DE number 6345695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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