An elementary approach to the Serre-Rost invariant of Albert algebras

DOI10.1016/0019-3577(96)83725-6zbMath0872.17029OpenAlexW2034565751MaRDI QIDQ2365502

Holger P. Petersson, Michel L. Racine

Publication date: 6 June 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)83725-6

zbMATH Keywords

cohomologyJordan algebrasSerre-Rost invariantTits constructionAlbert algebras

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40) Simple, semisimple Jordan algebras (17C20) Division algebras and Jordan algebras (17C60)

Related Items (16)

Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic ⋮ Albert algebras over and other rings ⋮ The Serre-Rost invariant of Albert algebras in characteristic three ⋮ A survey on Albert algebras ⋮ Invariants mod-2 and subgroups of \(G_2\) and \(F_4\) ⋮ Geometry of symmetric spaces of type EIII ⋮ Splitting fields for \(E_8\)-torsors ⋮ Unramified cohomology of classifying varieties for exceptional simply connected groups ⋮ Anisotropic Forms of Higher Degree Under Finite Dimensional Field Extensions ⋮ The cyclicity problem for Albert algebras ⋮ Kummer elements and the mod-3 invariant of Albert algebras ⋮ 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 ⋮ Diophantine and cohomological dimensions ⋮ Coordinate algebras of extended affine Lie algebras of type \(A_1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Springer forms and the first Tits construction of exceptional Jordan division algebras
• A norm theorem for central simple algebras of degree 3
• Jordan algebras of degree 3 and the Tits process
• Classification of algebras arising from the Tits process
• Galois Cohomology
• Exceptional simple Jordan algebras and Galois cohomology
• On the invariants mod 2 of Albert algebras
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Generic Reducing Fields of Jordan Pairs
• Cubic Subfields of Exceptional Simple Jordan Algebras
• Generic Splitting Fields of Composition Algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited
• Profinite Groups, Arithmetic, and Geometry. (AM-67)

This page was built for publication: An elementary approach to the Serre-Rost invariant of Albert algebras