Totally decomposable symplectic and unitary involutions

DOI10.1007/s00229-016-0891-6zbMath1382.16037arXiv1603.00733OpenAlexW2288255906MaRDI QIDQ2364445

Andrew Dolphin

Publication date: 21 July 2017

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00733

zbMATH Keywords

hyperbolicPfister forminvolutionalgebraorthogonalsymplecticunitaryisotropicbilinearquadraticformadjoint involutionhermitiancentral simple

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) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

Related Items (2)

Generalised quadratic forms and the \(u\)-invariant ⋮ The metabolicity index of involutions in characteristic two

Cites Work

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• Totally decomposable quadratic pairs
• Hyperbolicity of orthogonal involutions
• A proof of the Pfister factor conjecture
• Pfister involutions.
• Symplectic involutions, quadratic pairs and function fields of conics
• Involutions, odd degree extensions and generic splitting.
• Orthogonal Pfister involutions in characteristic two
• A Note on Hermitian Forms Over Fields of Characteristic 2

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