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Factorization of Symmetric Matrices and Actions on Σ_k

Baohua Fu
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Abstract

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.

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Baohua Fu. 2002-03-15. Factorization of Symmetric Matrices and Actions on Σ_k. https://arxiv.org/abs/math/0203154

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