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arXiv · 1305.4906

Isometries of quadratic spaces

Eva Bayer-Fluckiger
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Abstract

Let k be a field of characteristic not 2, let q be a quadratic space over k and let f be an irreducible polynomial with coefficients in k. In 1969, Milnor raised the following question : how can we decide whether q has an isometry with minimal polynomial f ? We give an answer to this question in the case of global fields. A more general version of the question is also considered.

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Eva Bayer-Fluckiger. 2013-05-21. Isometries of quadratic spaces. https://arxiv.org/abs/1305.4906

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