Invariants of algebraic groups

DOI10.1515/crll.1999.508.127zbMath0913.16010OpenAlexW2043523039MaRDI QIDQ4229345

Alexander S. Merkurjev

Publication date: 22 February 1999

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1999.508.127

zbMATH Keywords

algebraic groupscentral simple algebrasnatural transformationsunramified groupsdimension \(d\) invariantsgroups of cohomological invariantsRost's invariants

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Cohomology theory for linear algebraic groups (20G10) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Higher symbols, Milnor (K)-theory (19D45)

Related Items (10)

The group \(SK_1\) for simple algebras. ⋮ Degree three unramified cohomology of adjoint semisimple groups ⋮ Degree one Milnor \(K\)-invariants of groups of multiplicative type ⋮ Reduced Whitehead groups of prime exponent algebras over \(p\)-adic curves ⋮ Comparing invariants of \(\mathbf{SK}_1\) ⋮ 𝑅-equivalence in spinor groups ⋮ Unitary \(\mathrm{SK}_1\) of semiramified graded and valued division algebras. ⋮ L'invariant de Suslin en caractéristique positive ⋮ Cohomological invariants of simply connected groups of rank \(3\) ⋮ Unramified cohomology of classifying varieties for classical simply connected groups1

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