Article contents
A Witt Theorem for Non-Defective Lattices
Published online by Cambridge University Press: 20 November 2018
Extract
In [10], Witt laid the foundation for the study of quadratic forms over fields. Suppose Q is a quadratic form defined on a finite dimensional vector space V over a field of characteristic not equal to 2. Witt showed that non-zero vectors x and y in V satisfying Q(x) = Q(y) can be mapped into each other via an isometry of the vector space V. More generally, if τ : W ⟶ W’ is an isometry between subspaces of V, then τ extends to an isometry ϕ of V.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1978
References
- 1
- Cited by