On motives of algebraic groups associated to a divsion algebra

2012/02/14 by Evgeny Shinder, Shinder, Evgeny
Mathematics · #14F42 20G15 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #K-Theory and Homology (math.KT) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1202.3090

openalex publication_date 2012/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider algebraic groups GL₁(A), SL₁(A), where A is a division algebra of prime degree over a field F, and associated motives in the category of motivic complexes DM(F). Following an idea of Suslin, we relate motives of these groups to the motive of Voevodsky's simplicial scheme X, associated to the Severi-Brauer variety of A.

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