Real Clifford algebras and quadratic forms over ${\mathbb F}_2$ : two old problems become one

preprint2016arXivOpen access

We show equivalence of two old classification theorems: Dickson's classification of quadratic forms over ${\mathbb F}_2$ , and Chevalley's classification of real Clifford algebras.

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Real Clifford algebras and quadratic forms over ${\mathbb F}_2$ : two old problems become one

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Real Clifford algebras and quadratic forms over F2{\mathbb F}_2F2​: two old problems become one

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Real Clifford algebras and quadratic forms over ${\mathbb F}_2$ : two old problems become one