Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol (Q724287)
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scientific article; zbMATH DE number 6910266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol |
scientific article; zbMATH DE number 6910266 |
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Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol (English)
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25 July 2018
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The Vaserstein symbol maps the unimodular triples (over any commutative ring) modulo addition operations to the elementary symplectic Witt group. It is bijective for two-dimensional rings. It is not imjective for some three-dimensional rings. The paper gives new interesting examples of such rings.
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unimodular row
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elementary symplectic Witt group
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Vaserstein symbol
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orthogonal group
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