Pfaffians and quadratic forms

DOI10.1016/0001-8708(88)90065-5zbMath0656.10015OpenAlexW2012771910MaRDI QIDQ1109806

Max-Albert Knus

Publication date: 1988

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(88)90065-5

zbMATH Keywords

Azumaya algebrassymplectic involutiontrivial Arf invariantquadratic forms over commutative ringsquadratic modules of rank 5quadratic space of rank 6

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quadratic spaces; Clifford algebras (11E88)

Related Items (8)

Line-bundle-valued ternary quadratic forms over schemes ⋮ Cohomology with coefficients in stacks of abelian 2-groups ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Pfaffians, central simple algebras and similitudes ⋮ Algebras with scalar involution revisited ⋮ Surjectivity of the total Clifford invariant and Brauer dimension ⋮ Separable free quadratic algebras over quadratic integers ⋮ On self-dual normal bases

Cites Work

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• A splitting theorem for quadratic forms
• Quadratic forms over semilocal rings
• Théorie de la descente et algèbres d'Azumaya
• Derivations in Azumaya algebras
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• On the Wedderburn norm condition for cyclic algebras
• Projective Modules Over Central Separable Algebras

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