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Results tagged with quadratic-forms
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user 105957
Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
7
votes
1
answer
260
views
Weird analogy between quadratic forms and formal systems
A fundamental connection between provability and consistency for formal systems is that, if $Q$ is a formal system and $A$ is a sentence in the language of $S$, then
$Q$ proves $A$ if and only if …
- 575
9
votes
Accepted
Fields in which $ -1 $ can't be written as sum of two square elements
In the notation of Lam's Quadratic forms over fields, the Stufe (a German word) or level (its English translation) $s(F)$ of a field is the minimal $n$ such that $-1$ is the sum of $n$ squares.
A theo …
- 575