## 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 $G$.## References

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## Additional Information

**Alexander S. Merkurjev**- Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095-1555
- MR Author ID: 191878
- ORCID: 0000-0002-4447-1838
- Email: merkurev@math.ucla.edu
- Received by editor(s): March 13, 2014
- Received by editor(s) in revised form: January 10, 2015
- Published electronically: March 21, 2016
- Additional Notes: The work of the author has been supported by NSF grant DMS #1160206 and a Guggenheim Fellowship
- © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**369**(2017), 555-574 - MSC (2010): Primary 20G15; Secondary 19E15, 14F42
- DOI: https://doi.org/10.1090/tran6654
- MathSciNet review: 3557785