Jordan algebras and \(F_4\) bundles over the affine plane

DOI10.1006/jabr.1997.7161zbMath0893.17026OpenAlexW2023968833WikidataQ105474490 ScholiaQ105474490MaRDI QIDQ1375965

Maneesh L. Thakur, Raman Parimala, Venapally Suresh

Publication date: 27 August 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7161

zbMATH Keywords

affine planeJordan algebra\(F_4\)-bundleanisotropic algebraic group

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Exceptional Jordan structures (17C40) Other algebraic groups (geometric aspects) (14L40)

Related Items (7)

The albert algebra of generic matrices ⋮ Albert algebras over curves of genus zero and one ⋮ Jordan Algebras Over Algebraic Varieties ⋮ A survey on Albert algebras ⋮ Classes of structurable algebras of skew-rank ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss ⋮ A Construction Method for Albert Algebras over Algebraic Varieties

Cites Work

• Fibres quadratiques et composantes connexes réelles
• On reduced exceptional simple Jordan algebras
• Principal bundles on the affine line
• Indecomposable quadratic spaces over the affine plane
• Principal bundles on affine space and bundles on the projective line
• A local global principle for quadratic forms over polynomial rings
• Non-free projective modules over H(X,Y) and stable bundles over \(P_ 2(\)C)
• Locally polynomial algebras are symmetric algebras
• Quadratic and Hermitian forms in additive and Abelian categories
• Semisimple subalgebras of semisimple Lie algebras
• Cayley algebra bundles onA²_K
• Some groups of transformations defined by Jordan algebras. II. Groups of type F4.
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