Motivic decomposition of certain special linear groups

Merkurjev, Alexander

doi:10.1090/tran6654

Motivic decomposition of certain special linear groups
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by Alexander S. Merkurjev PDF

Trans. Amer. Math. Soc. 369 (2017), 555-574 Request permission

Abstract:

We compute the motive of the algebraic group $G=\operatorname {\mathbf {SL}}_1(D)$ 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 $G$.

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