Unramified cohomology of classifying varieties for exceptional simply connected groups

DOI10.1090/S0002-9947-05-03676-7zbMath1143.11015arXivmath/0304270MaRDI QIDQ5694987

Skip Garibaldi

Publication date: 6 October 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304270

zbMATH Keywords

classifying spaceunramified cohomologyalgebraic groupRost invariantstably rationalsemisimple simply connected algebraic groupTits algebraexceptional algebraic grouptrialitarian algebraic group

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Exceptional (super)algebras (17B25) Cohomology theory for linear algebraic groups (20G10)

Related Items (4)

Essential dimension of Albert algebras ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Degree 3 unramified cohomology of classifying spaces for exceptional groups ⋮ Unramified degree three invariants of reductive groups

Cites Work

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• Jordan algebras and algebraic groups.
• Isotropic trialitarian algebraic groups
• Generic splitting of reductive groups
• Rost's cohomological invariants in positive characteristic
• Maximal indexes of Tits algebras
• An elementary approach to the Serre-Rost invariant of Albert algebras
• Triality and Lie algebras of type \(D_4\)
• Unramified cohomology of classifying varieties for classical simply connected groups1
• Algèbres simples centrales de degré 5 et E₈
• The Rost invariant has trivial kernel for quasi-split groups of low rank

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