Upper Motives of Outer Algebraic Groups

DOI10.1007/978-1-4419-6211-9_15zbMath1216.14043arXiv0911.3123OpenAlexW1488530842MaRDI QIDQ3001258

Nikita A. Karpenko

Publication date: 31 May 2011

Published in: Quadratic Forms, Linear Algebraic Groups, and Cohomology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3123

Mathematics Subject Classification ID

Algebraic cycles (14C25) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (14)

Unitary Grassmannians of division algebras ⋮ Critical varieties and motivic equivalence for algebras with involution ⋮ Sufficiently generic orthogonal Grassmannians ⋮ Isotropy of unitary involutions ⋮ Unitary Grassmannians ⋮ Pfister forms in the algebraic and geometric theory of quadratic forms ⋮ Motivic decomposition of projective pseudo-homogeneous varieties ⋮ Équivalence motivique des groupes algébriques semisimples ⋮ Incompressibility of orthogonal Grassmannians ⋮ Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems ⋮ Hermitian forms over quaternion algebras ⋮ Motivic decompositions of projective homogeneous varieties and change of coefficients ⋮ Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties ⋮ Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties

Cites Work

• Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem
• Motivic decomposition of isotropic projective homogeneous varieties
• On motivic decompositions arising from the method of Białynicki-Birula
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