Isotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and triality

DOI10.1016/j.aim.2018.12.003zbMath1452.17031arXiv1704.05229OpenAlexW2621123769WikidataQ128732708 ScholiaQ128732708MaRDI QIDQ1711931

Peng Zhang

Publication date: 18 January 2019

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

Full work available at URL: https://arxiv.org/abs/1704.05229

zbMATH Keywords

homogeneous spacestrialitytorsorsoctonion algebrasisotopes

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Cohomology theory for linear algebraic groups (20G10) Alternative rings (17D05)

Related Items (8)

Albert algebras over and other rings ⋮ Affine Grassmannians for triality groups ⋮ A survey on Albert algebras ⋮ Trialitarian triples ⋮ Generically split octonion algebras and \(\mathbb{A}^1\)-homotopy theory ⋮ Springer's odd degree extension theorem for quadratic forms over semilocal rings ⋮ The canonical quadratic pair on a Clifford algebra and triality ⋮ Albert algebras over rings and related torsors

Cites Work

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• Fibres quadratiques et composantes connexes réelles
• Inner derivations of alternative algebras over commutative rings
• On triality and automorphisms and derivations of composition algebras
• The structure group of an alternative algebra
• Homotopes of alternative algebras
• Non-associative algebras. I: Fundamental concepts and isotopy
• Composition algebras over Laurent polynomials
• Cohomological invariants: exceptional groups and spin groups
• Quadratic Spaces Over Laurent Extensions of Dedekind Domains
• Isomorphism Theorems for Octonion Planes Over Local Rings
• Projective Modules over Laurent Polynomial Rings
• Composition Algebras Over Algebraic Curves of Genus Zero
• Spécialisation de la $R$-équivalence pour les groupes réductifs
• Torsors, reductive group schemes and extended affine Lie algebras
• Octonion Algebras over Rings Are Not Determined by their Norms
• Some groups of transformations defined by Jordan algebras. II. Groups of type F4.

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