On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property

zbMath0914.11014MaRDI QIDQ1269899

Detlev W. Hoffmann, Jean-Pierre E. Tignol

Publication date: 22 October 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223375

zbMATH Keywords

binary formsHasse numberClifford invariantPfister formsbiquaternion algebrascommon slots of quaternion algebrascommon value propertyexcellence property of an extension fieldfields of formal power seriesfundamental ideal of the Witt ringhigher-dimensional quadratic forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20) General binary quadratic forms (11E16)

Related Items (7)

Pfister Numbers over Rigid Fields ⋮ Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4 ⋮ Similarity of quadratic forms and related problems ⋮ On In-forms over field extensions ⋮ Moufang Sets and Structurable Division Algebras ⋮ Around 16-dimensional quadratic forms in \(I^3_q\) ⋮ Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties

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