Construction of Symmetric and Symplectic Bilinear Forms |
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Authors: | Frieder Knüppel |
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Affiliation: | (1) Mathematisches Seminar, Lukewig-Meyn-Str. 4, 24098 Kiel, Germany |
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Abstract: | Let V be a finite-dimensional vector-space. A linear mapping on V is called simple if V( - 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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Keywords: | bilinear forms orthogonal groups symplectic groups. |
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