Submission: 2014, Mar 05
We compute the motive of the algebraic group G=SL1(D) for a central simple algebra D of prime degree over a perfect field. As an application we determine certain motivic cohomology groups and differentials in the motivic spectral sequence of G.
2010 Mathematics Subject Classification: 20G15; 19E15, 14F42.
Keywords and Phrases: Central simple algebras, Severi-Brauer varieties, special linear groups, motives, motivic cohomology.
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