A proof of the Pfister factor conjecture

DOI10.1007/s00222-007-0107-5zbMath1226.11049OpenAlexW2075656671WikidataQ123018563 ScholiaQ123018563MaRDI QIDQ929365

Karim Johannes Becher

Publication date: 17 June 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-95125

zbMATH Keywords

Pfister formadjoint involutiondecomposition of an involutionPfister factor conjecture

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Quadratic and bilinear forms, inner products (15A63) Finite-dimensional division rings (16K20)

Related Items (18)

Unitary Grassmannians of division algebras ⋮ Cohomological invariants for orthogonal involutions on degree 8 algebras ⋮ Totally decomposable symplectic and unitary involutions ⋮ Quadratic forms of dimension 8 with trivial discriminant and Clifford algebra of index 4 ⋮ Totally decomposable quadratic pairs ⋮ Orthogonal symmetries and Clifford algebras ⋮ On split products of quaternion algebras with involution in characteristic two ⋮ Algebras with involution that become hyperbolic over the function field of a conic. ⋮ Separable extensions of orthogonal involutions in characteristic two ⋮ On totally decomposable algebras with involution in characteristic two. ⋮ Orthogonal Pfister involutions in characteristic two ⋮ Involutions on tensor products of quaternion algebras ⋮ Cohomological Invariants of Central Simple Algebras with Involution ⋮ The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras with involution. ⋮ ON HERMITIAN PFISTER FORMS ⋮ Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties ⋮ On the possible decompositions of totally decomposable orthogonal involutions in characteristic two ⋮ Involutions, odd degree extensions and generic splitting.

Cites Work

• On quadratic forms isotropic over the function field of a conic
• Discriminant of symplectic involutions
• Compositions of quadratic forms
• Hyperbolic involutions
• Pfister involutions.
• The discriminant of a decomposable symplectic involution.
• Formes antihermitiennes devenant hyperboliques sur un corps de déploiement
• Quadratic Lattices in Function Fields of Genus 0
• APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS
• Hermitian analogue of a theorem of Springer
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