Indecomposable quadratic spaces over the affine plane

DOI10.1016/0001-8708(86)90085-XzbMath0604.10008OpenAlexW1998403293MaRDI QIDQ1083470

Raman Parimala

Publication date: 1986

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90085-x

zbMATH Keywords

polynomial ringindecomposable quadratic spacesanisotropic quadratic space of rank \(\geq 3\)

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Quadratic spaces; Clifford algebras (11E88)

Related Items (5)

Principal bundles on affine space and bundles on the projective line ⋮ Jordan algebras and \(F_4\) bundles over the affine plane ⋮ Cayley algebra bundles onA²_K ⋮ Pfaffians, central simple algebras and similitudes ⋮ On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I

Cites Work

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• Indecomposable quadratic bundles of rank 4n over the real affine plane
• A local global principle for quadratic forms over polynomial rings
• Projective modules over polynomial rings over division rings
• Locally polynomial algebras are symmetric algebras
• Serre's conjecture
• Positive-definite quadratic bundles over the plane
• Cancellation of Azumaya algebras
• Failure of a Quadratic Analogue of Serre's Conjecture

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