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About: Hasse invariant of a quadratic form     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatQuadraticForms, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:Form106290637yago:LanguageUnit106284225yago:Part113809207yago:Relation100031921yago:Word106286395yago:WikicatQuadraticForms New Facet based on Instances of this Class

In mathematics, the Hasse invariant (or Hasse–Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br(K). The name "Hasse–Witt" comes from Helmut Hasse and Ernst Witt. The quadratic form Q may be taken as a diagonal form Σ aixi2. Its invariant is then defined as the product of the classes in the Brauer group of all the quaternion algebras (ai, aj) for i < j. This is independent of the diagonal form chosen to compute it. It may also be viewed as the second Stiefel–Whitney class of Q.