English

Normal forms for real quadratic forms

Representation Theory 2010-02-23 v1 Algebraic Geometry

Abstract

We investigate the non-diagonal normal forms of a quadratic form on R^n, in particular for n=3. For this case it is shown that the set of normal forms is the closure of a 5-dimensional submanifold in the 6-dimensional Grassmannian of 2-dimensional subspaces of \R^5.

Keywords

Cite

@article{arxiv.0805.0180,
  title  = {Normal forms for real quadratic forms},
  author = {Bernhard Kroetz and Henrik Schlichtkrull},
  journal= {arXiv preprint arXiv:0805.0180},
  year   = {2010}
}
R2 v1 2026-06-21T10:36:44.371Z