Factorization of Symmetric Matrices and Actions on Σ_k

Details Factorization of Symmetric Matrices and Actions on Σ_k Factorization of Symmetric Matrices and Actions on Σ_k

2002-03-15

arxiv.org/abs/math/0203154v1

Mathematics

Algebraic Geometry

elementary & 4 pages

Scientific paper

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 \Sigma_k.

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