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Hasse principle for $G$-trace forms@@@Hasse principle for $G$-trace forms, 77
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Quadratic and Hermitian Forms over Rings
Let q be a unimodular quadratic form over a field K. Pfister's famous local–global principle asserts that q represents a torsion class in the Witt group of K if and only if it has signature 0, and that in this case, the order of Witt class of q is a power of 2. We give two analogues of this result to systems of quadratic forms, the second of which applying only to nonsingular pairs. We also prove a counterpart of Pfister's theorem for finite‐dimensional K‐algebras with involution, generalizing a result of Lewis and Unger.
Bulletin of the London Mathematical Society – Wiley
Published: Dec 1, 2020
Keywords: ;
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