Factorization of Symmetric Matrices and Actions on Σ_k

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In this note, firstly we give an easy proof of the factorization of symmetric matrices (see [Mos] math-ph/0203023), then we use it to prove the well-known fact that the automorphism group of a non-degenerate symmetric bilinear form acts transitively on the locus of isotropic subspaces Σ_k.
elementary & 4 pages

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Algebraic Geometry, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/63576

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203154
 http://arxiv.org/abs/math/0203154

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arXiv