On the motive of the group of units of a division algebra

DOI10.1017/is014003007jkt258zbMath1325.14037OpenAlexW2151190587MaRDI QIDQ3191184

Evgeny Shinder

Publication date: 24 September 2014

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://www.pure.ed.ac.uk/ws/files/15386402/paper.pdf

zbMATH Keywords

motivic cohomologydivision algebraSeveri-Brauer variety

Mathematics Subject Classification ID

Classical groups (11E57) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (1)

Motivic decomposition of certain special linear groups

Cites Work

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• Higher Chern classes and Steenrod operations in motivic cohomology
• Motivic cohomology of the simplicial motive of a Rost variety
• Motivic decomposition of isotropic projective homogeneous varieties
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Generic element in \(SK_ 1\) for simple algebras
• Motives of reductive groups
• Motives over simplicial schemes
• Algebraic K -theory, A ¹ -homotopy and Riemann-Roch theorems
• The slice filtration and mixed Tate motives

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