2015/06/25 by Victor Petrov, Nikita Semenov · 7 citations
Mathematics · #Advanced Algebra and Geometry #Affine transformation #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic group #Algebraic number #Algebraic structures and combinatorial models #Algebraic variety #Equivariant map #Field (mathematics) #Variety (cybernetics) #math.AG #msc:14C15 #msc:20G15
paper · pdf · doi:10.1112/jlms.12040
published in Journal of the London Mathematical Society 95(3), 895-918 (Wiley) · 21 pages
arxiv created 2015/06/25 · openalex created_date 2016/06/24 · openalex publication_date 2017/03/23 · arxiv updated 2017/06/14 · openalex updated_date 2026/08/05
In this article we investigate ordinary and equivariant Rost motives. We provide an equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic group G over a field, a motivic decomposition of E / B for a G-torsor E over a smooth base scheme, study torsion subgroup of the Chow group of E / B , define some equivariant Rost motives over a field and some ordinary Rost motives over a general base scheme, and relate equivariant Rost motives with classifying spaces of some algebraic groups.