Classifying nonsingular quadratic forms of rank three

DOI10.1016/0024-3795(90)90255-BzbMath0718.11014MaRDI QIDQ2639084

William C. Waterhouse

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

orthogonal groupdescent theorydiscriminantWitt invariantquadratic forms over commutative ringsAzumaya algebras of rank fourquadratic forms of rank one

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) General commutative ring theory (13A99)

Cites Work

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• Quadratic spaces with trivial Arf invariant
• Twisted forms of the determinant
• K-theory of quadric hypersurfaces
• Automorphisms of \(\det (X_{ij}):\) The group scheme approach
• Théorie de la descente et algèbres d'Azumaya
• Automorphism schemes and forms of Witt Lie algebras

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