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Representations of a Clifford algebra that are Azumaya algebras and generate the Brauer group

✍ Scribed by Steven Tesser


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
715 KB
Volume
119
Category
Article
ISSN
0021-8693

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The Division Algebras and Brauer Group o
✍ E.S. Brussel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 158 KB

The set of division algebras central and finite dimensional over a field F Ε½ . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ε½ β…· . isomorphic to the Galois cohomology group H G , F . Since the latter F sep is an arithmetic invariant, the theory of F's division algebras and