In mathematics, a Pfister form is a particular kind of quadratic form, introduced by Albrecht Pfister in 1965. In what follows, quadratic forms are considered over a field F of characteristic not 2. For a natural number n, an n-fold Pfister form over F is a quadratic form of dimension 2n that can be written as a tensor product of quadratic forms So the 1-fold and 2-fold Pfister forms look like: . The n-fold Pfister forms additively generate the n-th power I n of the fundamental ideal of the Witt ring of F.
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