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Construction of Symmetric and Symplectic Bilinear Forms

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Abstract

Let V be a finite-dimensional vector-space. A linear mapping ϕ on V is called simple if V(ϕ - 1) is 1-dimensional. Let S be a set of simple bijections on V. We discuss conditions entraining that each element of S is orthogonal (respectively symplectic) under an appropriate symmetric (respectively symplectic) bilinear form on V.

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Authors and Affiliations

  1. Mathematisches Seminar, Lukewig-Meyn-Str. 4, 24098, Kiel, Germany

    Frieder Knüppel

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  1. Frieder Knüppel
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Knüppel, F. Construction of Symmetric and Symplectic Bilinear Forms. Geometriae Dedicata 76, 253–264 (1999). https://doi.org/10.1023/A:1005158902303

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  • DOI: https://doi.org/10.1023/A:1005158902303

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