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- Pfister_form abstract "In mathematics, a Pfister form is a particular kind of quadratic form over a field F (whose characteristic is usually assumed to be not 2), introduced by Albrecht Pfister in 1965. A Pfister form is in 2n variables, for some natural number n (also called an n-Pfister form), and may be written as a tensor product of quadratic forms as:for ai elements of the field F. An n-Pfister form may also be constructed inductively from an (n-1)-Pfister form q and an element a of F, as .So all 1-Pfister forms and 2-Pfister forms look like:.For n ≤ 3 the n-Pfister forms are norm forms of composition algebras. In fact, in this case, two n-Pfister forms are isometric if and only if the corresponding composition algebras are isomorphic.The Pfister forms are generators for the torsion in the Witt group. The n-fold forms additively generate the n-th power In of the fundamental ideal of the Witt ring.".
- Pfister_form wikiPageID "7204602".
- Pfister_form wikiPageRevisionID "559306758".
- Pfister_form hasPhotoCollection Pfister_form.
- Pfister_form subject Category:Quadratic_forms.
- Pfister_form type Abstraction100002137.
- Pfister_form type Form106290637.
- Pfister_form type LanguageUnit106284225.
- Pfister_form type Part113809207.
- Pfister_form type QuadraticForms.
- Pfister_form type Relation100031921.
- Pfister_form type Word106286395.
- Pfister_form comment "In mathematics, a Pfister form is a particular kind of quadratic form over a field F (whose characteristic is usually assumed to be not 2), introduced by Albrecht Pfister in 1965. A Pfister form is in 2n variables, for some natural number n (also called an n-Pfister form), and may be written as a tensor product of quadratic forms as:for ai elements of the field F.".
- Pfister_form label "Pfister form".
- Pfister_form sameAs m.025w0y9.
- Pfister_form sameAs Q7179798.
- Pfister_form sameAs Q7179798.
- Pfister_form sameAs Pfister_form.
- Pfister_form wasDerivedFrom Pfister_form?oldid=559306758.
- Pfister_form isPrimaryTopicOf Pfister_form.