Algebras with involution that become hyperbolic over the function field of a conic.

DOI10.1007/s11856-010-0106-xzbMath1214.16033arXiv0805.4138OpenAlexW2089244468MaRDI QIDQ616527

Anne Quéguiner-Mathieu, Jean-Pierre E. Tignol

Publication date: 10 January 2011

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

Full work available at URL: https://arxiv.org/abs/0805.4138

zbMATH Keywords

trialityalgebras with involutioncentral simple algebrasquaternion algebrasfunction fields of conicssymplectic involutionshyperbolic involutionsminimal quadratic formsorthogonal involutions

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)

Related Items (8)

Involutions of a Clifford Algebra Induced by Involutions of Orthogonal Group in Characteristic 2 ⋮ Symplectic involutions, quadratic pairs and function fields of conics ⋮ The \(J\)-invariant, Tits algebras and triality. ⋮ On totally decomposable algebras with involution in characteristic two. ⋮ The canonical quadratic pair on a Clifford algebra and triality ⋮ Hyperbolic Involutions and Quadratic Extensions ⋮ Quadratic \(D\)-forms with applications to Hermitian forms ⋮ Degree 3 relative invariant for unitary involutions

Cites Work

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• Valuations on algebras with involution.
• A proof of the Pfister factor conjecture
• Cohomologische Invarianten quadratischer Formen
• Hyperbolic involutions
• Minimal forms with respect to function fields of conics
• Pfister involutions.
• The generalized even Clifford algebra
• A Cassels-Pfister theorem for involutions on central simple algebras
• Formes antihermitiennes devenant hyperboliques sur un corps de déploiement
• Somme orthogonal d'algebres a involution et algebra de clifford
• APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS
• Value functions and associated graded rings for semisimple algebras
• Orthogonal involution on algebras of degree 16 and the Killing form of E8
• Clifford algebras of hyperbolic involutions
• Hermitian analogue of a theorem of Springer

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