Isotropy of unitary involutions

DOI10.1007/s11511-013-0103-0zbMath1291.14013arXiv1103.5777OpenAlexW2032655431MaRDI QIDQ392791

Nikita A. Karpenko, Maksim Zhykhovich

Publication date: 15 January 2014

Published in: Acta Mathematica, Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5777

zbMATH Keywords

algebraic groupsinvolutionsGrassmannianSteenrod algebraSteenrod operationscentral simple algebraChow groups and motivesprojective homogeneous varietiesinvolution, symmetric algebra

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Affine algebraic groups, hyperalgebra constructions (14L17) Associative algebras and orders (16H99)

Related Items (10)

Unitary Grassmannians of division algebras ⋮ Critical varieties and motivic equivalence for algebras with involution ⋮ Decomposition of algebras with involution in characteristic 2 ⋮ Isotropy of unitary involutions ⋮ Symplectic involutions, quadratic pairs and function fields of conics ⋮ Incompressible Grassmannians of isotropic subspaces ⋮ Unitary Grassmannians ⋮ Hermitian forms over quaternion algebras ⋮ Hopf-theoretic approach to motives of twisted flag varieties ⋮ Shells of twisted flag varieties and the Rost invariant

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isotropy of unitary involutions
• Isotropy of symplectic involutions.
• Hyperbolicity of orthogonal involutions
• Strong asymptotics for Bergman polynomials over non-smooth domains
• Index reduction formulas for twisted flag varieties. II
• On the Chow groups of quadratic Grassmannians
• Motivic decomposition of isotropic projective homogeneous varieties
• Unitary Grassmannians
• Symmetric operations in algebraic cobordism
• Formes antihermitiennes devenant hyperboliques sur un corps de déploiement
• Upper Motives of Outer Algebraic Groups
• Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties
• Algebraic Cobordism
• Fields of u-Invariant 2 r + 1
• Isotropy of orthogonal involutions
• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties
• Algebraic cobordisms of a Pfister quadric
• Weil transfer of algebraic cycles.
• Hermitian analogue of a theorem of Springer

This page was built for publication: Isotropy of unitary involutions