Sums of squares in central simple algebras (Q1057348)
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scientific article; zbMATH DE number 3897149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of squares in central simple algebras |
scientific article; zbMATH DE number 3897149 |
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Sums of squares in central simple algebras (English)
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1985
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Let A be a central simple algebra over a field F of characteristic not equal to two. It is proved that zero is a non-trivial sum of squares in A if and only if the trace form of A over F is weakly isotropic. This confirms a recent conjecture of Leep, Shapiro and Wadsworth.
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central simple algebra
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sum of squares
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trace form
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