Ternary quadratic forms and matrix embeddings of quadratic orders (Q2763792)
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scientific article; zbMATH DE number 1693179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ternary quadratic forms and matrix embeddings of quadratic orders |
scientific article; zbMATH DE number 1693179 |
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19 May 2003
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quadratic field
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matrix ring
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embeddings
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0.9232803
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0.91782993
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0.90741503
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0.90401447
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0.9025494
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Ternary quadratic forms and matrix embeddings of quadratic orders (English)
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Verf. klassifiziert Einbettungen eines quadratischen Zahlkörpers \(K\) in den Matrizenring \({\mathfrak M} (2,\mathbb{Q})\), bei denen eine Ordnung \(O_\Delta\) der Diskriminante \(\Delta\) in \(K\) in eine Ordnung \(O\) von \({\mathfrak M} (2,\mathbb{Q})\) eingebettet wird. Diese Einbettungen entsprechen umkehrbar eindeutig den Darstellungen von \(-\Delta\) durch eine quadratische Normform zur Ordnung \(O_2= \mathbb{Z} E+2O\).
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