Discriminant algebras and adjoints of quadratic forms (Q1356594)
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scientific article; zbMATH DE number 1018687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discriminant algebras and adjoints of quadratic forms |
scientific article; zbMATH DE number 1018687 |
Statements
Discriminant algebras and adjoints of quadratic forms (English)
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9 July 1997
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The discriminant algebra of a nonsingular quadratic form \(q\) is defined as the centralizer of the even Clifford algebra in the full Clifford algebra. The author presents a definition of the discriminant algebra of a possibly quadratic form which avoids the Clifford algebra. The half- and the quarter-determinant, an Amitsur 1-cocycle, exterior and Pfaffian powers of bilinear forms are just a few of the tools used in the process.
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quadratic module
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Pfaffian
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discriminant algebra
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quadratic form
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Clifford algebra
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quarter-determinant
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