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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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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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