Springer forms and the first Tits construction of exceptional Jordan division algebras

DOI10.1007/BF01158039zbMath0536.17009OpenAlexW1966607921MaRDI QIDQ791624

Michel L. Racine, Holger P. Petersson

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154985

zbMATH Keywords

isotopeexceptional simple Jordan algebracentral exceptional Jordan division algebrafirst Tits constructionnine-dimensional subalgebrassimple Jordan division algebra of degree three

Mathematics Subject Classification ID

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

Related Items

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, The albert algebra of generic matrices, On cubic étale algebras, Cubic Subfields of Exceptional Simple Jordan Algebras, A survey on Albert algebras, Albert algebras and the Tits-Weiss conjecture, The étale Tits process of Jordan algebras revisited., Generic Reducing Fields of Jordan Pairs, Algebras of odd degree with involution, trace forms and dihedral extensions, Kummer elements and the mod-3 invariant of Albert algebras, Rational subgroups and invariants of \(F_4\), Reduced models of Albert algebras, On \(R\)-triviality of \(F_4\), Isotropic trialitarian algebraic groups, Automorphisms of Albert algebras and a conjecture of Tits and Weiss II, Automorphisms of Albert algebras and a conjecture of Tits and Weiss, R‐triviality of groups of type F4 arising from the first Tits construction, A historical perspective of the theory of isotopisms, The toral Tits process of Jordan algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A construction of exceptional Jordan division algebras
• Jordan algebras of degree 3 and the Tits process
• Composition algebras over a field with a discrete valuation
• Jordan pairs
• On exceptional Jordan division algebras
• Generic Splitting Fields of Composition Algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited