Classification of algebras arising from the Tits process

DOI10.1016/0021-8693(86)90025-6zbMath0589.17016OpenAlexW1964827884MaRDI QIDQ1073899

Michel L. Racine, Holger P. Petersson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90025-6

zbMATH Keywords

Jordan algebrasTits constructionTits constructionsTits processexceptional Jordan division algebrasemisimple Jordan algebrassimple Jordan algebra

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40) Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20)

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Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic ⋮ Albert algebras over and other rings ⋮ An elementary approach to the Serre-Rost invariant of Albert algebras ⋮ Cubic Action of a Rank one Group ⋮ Jordan Algebras Over Algebraic Varieties ⋮ Commuting $U$-operators in Jordan algebras ⋮ On cubic étale algebras ⋮ Cubic Subfields of Exceptional Simple Jordan Algebras ⋮ A survey on Albert algebras ⋮ Albert algebras and the Tits-Weiss conjecture ⋮ Classes of structurable algebras of skew-rank ⋮ Automorphisms and opposition in spherical buildings of exceptional type. II: Moufang hexagons ⋮ The étale Tits process of Jordan algebras revisited. ⋮ Some Notes on the Tensor Product of Two Norm Forms ⋮ Generic Reducing Fields of Jordan Pairs ⋮ Octonion algebras obtained from associative algebras with involution ⋮ Reduced models of Albert algebras ⋮ Some Classes of Multiplicative Forms of Higher Degree ⋮ Isotropic quadrangular algebras ⋮ On \(R\)-triviality of \(F_4\) ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss II ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss ⋮ Exceptional simple Jordan algebras and Galois cohomology ⋮ A norm theorem for central simple algebras of degree 3 ⋮ The toral Tits process of Jordan algebras ⋮ Jordan algebras of degree 3 and the Tits process

Cites Work

• Jordan algebras of degree 3 and the Tits process
• Lectures on quadratic Jordan algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Inner Ideals in Quadratic Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited
• A Note on Quadratic Jordan Algebras of Degree 3
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