Classification of pairs of symmetric and alternating bilinear forms (Q1970304)

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scientific article; zbMATH DE number 1417996
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Classification of pairs of symmetric and alternating bilinear forms
scientific article; zbMATH DE number 1417996

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    Classification of pairs of symmetric and alternating bilinear forms (English)
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    4 September 2000
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    The classification problem of the title is solved in all details over an arbitrary field \(k\). The essential ideas go back to \textit{W. C. Waterhouse} [Invent. Math. 37, 157-164 (1976; Zbl 0337.10015); Pacific J. Math. 69, 275-283 (1976; Zbl 0362.15015)]. Note that the classification of pairs of quadratic forms remains open for \(\text{char }k= 2\).
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    pairs of symmetric and alternating bilinear forms
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    classification
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    pairs of quadratic forms
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