The discriminant Pfister form of an algebra with involution of capacity four

DOI10.1007/S11856-024-2647-4MaRDI QIDQ6660132

Karim Johannes Becher, Nicolas Grenier-Boley, J.-P. Tignol

Publication date: 10 January 2025

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20) Galois cohomology of linear algebraic groups (11E72)

Cites Work

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• Totally decomposable quadratic pairs
• Metabolic involutions
• Pfaffians, central simple algebras and similitudes
• A proof of the Pfister factor conjecture
• Galois cohomology of the classical groups over imperfect fields
• Discriminant of symplectic involutions
• Cohomologische Invarianten quadratischer Formen
• Quadratic forms over semilocal rings
• Hyperbolic involutions
• Pfister involutions.
• Involutions and stable subalgebras
• Weakly hyperbolic involutions
• A criterion of decomposability for degree \(4\) algebras with unitary involution
• Totally decomposable symplectic and unitary involutions
• The trace form of a central simple algebra of degree 4.
• Cohomological Invariants of Central Simple Algebras with Involution

Related Items (1)

Witt invariants of involutions of low degree in characteristic 2

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