Totally decomposable quadratic pairs

DOI10.1007/s00209-016-1648-3zbMath1370.11051arXiv1512.01349OpenAlexW2271406952MaRDI QIDQ329964

Andrew Dolphin, Karim Johannes Becher

Publication date: 24 October 2016

Published in: Mathematische Zeitschrift, Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01349

zbMATH Keywords

quadratic formsinvolutionscentral simple algebrasquaternion algebrasquadratic pairscharacteristic twoPfister formshermitian forms

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

Related Items

Totally decomposable symplectic and unitary involutions, Totally decomposable quadratic pairs, Generalised quadratic forms and the \(u\)-invariant, Symplectic involutions, quadratic pairs and function fields of conics, The canonical quadratic pair on a Clifford algebra and triality

Cites Work

• Totally decomposable quadratic pairs
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• Metabolic involutions
• Fields of characteristic 2 with prescribed u-invariants
• A proof of the Pfister factor conjecture
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• Compositions of quadratic forms
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• Orthogonal Pfister involutions in characteristic two
• Formes antihermitiennes devenant hyperboliques sur un corps de déploiement
• Classification of quadratic forms over skew fields of characteristic 2
• Hermitian analogue of a theorem of Springer
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