Linear and multilinear algebra; matrix theory Bilinear and quadratic forms Concept
Quadratic form
Summary
A quadratic form on a vector space is a map to the scalars with . Also, must be bilinear in and . In coordinates, it is a homogeneous polynomial of degree two.
Where this leads
19 pages build on this one.
- Resistance form
- Oppenheim conjecture
- Clifford algebra
- Witt group
- Kervaire invariant
- Hyperbolic law of cosines
- Hyperboloid model
- Poincaré group
- Quadric
- Wigner's classification
- Projective conic
- Cochran's theorem
- Independence of sample mean and sample variance for normal samples
- Clifford module
- Indefinite orthogonal group
- Lorentz group
- Representation theory of the Lorentz group
- Hasse–Minkowski theorem
- Integral quadratic form
Further reading
- Web https://en.wikipedia.org/wiki/Quadratic_form, Definitions
About this page
| Tag | 0RBQS1JJCR |
|---|---|
| URI | m2://0RBQS1JJCR |
| Kind | concept |
| Writing | W1 stated |
| MSC | 15A63, 11E04 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Definitions
Special cases
Used by
- Resistance form
- Oppenheim conjecture
- Clifford algebra
- Witt group
- Kervaire invariant
- Quadric
- Projective conic
- Cochran's theorem
- Clifford module
- Indefinite orthogonal group
- Hasse–Minkowski theorem
- Integral quadratic form