Classification of quadratic forms over skew fields of characteristic 2

DOI10.1006/jabr.2001.8737zbMath0986.11026OpenAlexW1965765158MaRDI QIDQ5938614

Mohamed Abdou Elomary, Jean-Pierre E. Tignol

Publication date: 7 June 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8737

zbMATH Keywords

quadratic formClifford algebrainvolutionArf invariantquadratic pairskew field

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Quadratic spaces; Clifford algebras (11E88) Skew fields, division rings (12E15)

Related Items

On the Tits indices of absolutely almost simple algebraic groups over local and global fields ⋮ Singular and Totally Singular Unitary Spaces ⋮ Totally decomposable quadratic pairs ⋮ Generalised quadratic forms and the \(u\)-invariant ⋮ APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS ⋮ Galois cohomology of the classical groups over imperfect fields ⋮ The canonical quadratic pair on a Clifford algebra and triality ⋮ Pfister’s theorem for orthogonal involutions of degree 12

Cites Work

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