An algorithm for the Cartan–Dieudonné th
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M.A. Rodrı´guez-Andrade; G. Aragón-González; J.L. Aragón; Luis Verde-Star
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Article
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2011
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Elsevier Science
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English
⚖ 283 KB
We present an algorithmic proof of the Cartan-Dieudonné theorem on generalized real scalar product spaces with arbitrary signature. We use Clifford algebras to compute the factorization of a given orthogonal transformation as a product of reflections with respect to hyperplanes. The relationship wit