Factorization of Symmetric Matrices and Actions on \Sigma_k
Algebraic Geometry
2007-05-23 v1 Rings and Algebras
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 \Sigma_k.
Cite
@article{arxiv.math/0203154,
title = {Factorization of Symmetric Matrices and Actions on \Sigma_k},
author = {Baohua Fu},
journal= {arXiv preprint arXiv:math/0203154},
year = {2007}
}
Comments
elementary & 4 pages