The étale Tits process of Jordan algebras revisited.

DOI10.1016/j.jalgebra.2002.10.002zbMath1045.17014OpenAlexW2033379234MaRDI QIDQ1427380

Holger P. Petersson, Maneesh L. Thakur

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2002.10.002

zbMATH Keywords

involutionJordan algebraTits processnorm class

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50)

Related Items

Jordan Algebras Over Algebraic Varieties, Cyclic compositions and trisotopies, A survey on Albert algebras, Albert algebras and the Tits-Weiss conjecture, Classes of structurable algebras of skew-rank, On \(R\)-triviality of \(F_4\)

Cites Work

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• Springer forms and the first Tits construction of exceptional Jordan division algebras
• The toral Tits process of Jordan algebras
• Jordan algebras of degree 3 and the Tits process
• Classification of algebras arising from the Tits process
• The structure of strongly prime quadratic Jordan algebras
• Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution
• On the invariants mod 2 of Albert algebras
• Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic
• A classification theorem for Albert algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited
• A Note on Quadratic Jordan Algebras of Degree 3