The second trace form of a central simple algebra of degree 4 of characteristic 2.

DOI10.1016/j.crma.2005.11.010zbMath1110.16015OpenAlexW2023576554MaRDI QIDQ2583817

Jean-Pierre E. Tignol

Publication date: 18 January 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.11.010

zbMATH Keywords

characteristic polynomialsquadratic formscentral simple algebrasquaternion algebrasnorm formscyclic algebrasWitt groupsPfister 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)

Related Items

Trialitarian triples, A lower bound on the essential dimension of PGL₄ in characteristic 2, Open problems on central simple algebras.

Cites Work

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• Fields of characteristic 2 with prescribed u-invariants
• Produits croises Abeliens
• Generic Abelian crossed products and \(p\)-algebras
• The trace form of a central simple algebra of degree 4.
• On the second trace form of central simple algebras in characteristic two
• Formes quadratiques et extensions en caractéristique 2. (Quadratic forms and extensions of charactéristic two)