Index reduction formulas for twisted flag varieties. II

DOI10.1023/A:1007793218556zbMath0918.16013OpenAlexW2094042668MaRDI QIDQ1266159

Adrian R. Wadsworth, I. A. Panin, Alexander S. Merkurjev

Publication date: 18 October 1998

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007793218556

zbMATH Keywords

function fieldsparabolic subgroupsBrauer groupscentral simple algebrassemisimple linear algebraic groupstwisted flag varietiesprojective varietiesBrauer-Severi varietiesBorel varietieschange of Schur indexgroups of inner typeindex reduction formula

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Finite-dimensional division rings (16K20) (K)-theory of schemes (19E08) Quadratic spaces; Clifford algebras (11E88)

Related Items (20)

Unitary Grassmannians of division algebras ⋮ Critical varieties and motivic equivalence for algebras with involution ⋮ Arithmetic of linear algebraic groups over 2-dimensional geometric fields ⋮ Hasse principle for hermitian spaces over semi-global fields ⋮ Local-global principle for classical groups over function fields of \(p\)-adic curves ⋮ Essential dimension of Hermitian spaces ⋮ Reduction of structure to parabolic subgroups ⋮ Isotropy of unitary involutions ⋮ Symplectic involutions, quadratic pairs and function fields of conics ⋮ Local-global principle for projective homogeneous spaces of unitary groups ⋮ Unitary Grassmannians ⋮ Pfister forms in the algebraic and geometric theory of quadratic forms ⋮ Équivalence motivique des groupes algébriques semisimples ⋮ A rational construction of Lie algebras of type \(E_{7}\) ⋮ Open problems on central simple algebras. ⋮ A bound for canonical dimension of the (semi)spinor groups ⋮ Geometries, the principle of duality, and algebraic groups ⋮ Isotropic trialitarian algebraic groups ⋮ Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties ⋮ Unramified cohomology of classifying varieties for classical simply connected groups1

This page was built for publication: Index reduction formulas for twisted flag varieties. II