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Cubic invariants for \(SL_ 2(F_ q)\) - MaRDI portal

Cubic invariants for \(SL_ 2(F_ q)\) (Q1183289)

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scientific article; zbMATH DE number 33042
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Cubic invariants for \(SL_ 2(F_ q)\)
scientific article; zbMATH DE number 33042

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    Cubic invariants for \(SL_ 2(F_ q)\) (English)
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    28 June 1992
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    The author proves by a simple character argument that there is a unique tensor invariant of degree 3 for the Weil representation of \(SL_ 2(q)\), where \(q\) is an odd prime power. He also investigates the explicit form of the invariant. The paper generalizes, simplifies and corrects results of an earlier paper [J. Algebra 72, 146-165 (1981; Zbl 0479.20020)].
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    character
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    tensor invariant
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    Weil representation
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