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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Study of a $\mathbf Z$-form of the coordinate ring of a reductive group
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by G. Lusztig
J. Amer. Math. Soc. 22 (2009), 739-769
Published electronically: March 31, 2008


We show how the theory of canonical bases in modified universal enveloping algebras can be used to develop the theory of Chevalley groups over any commutative ring with $1$.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): September 19, 2007
  • Published electronically: March 31, 2008
  • Additional Notes: The author was supported in part by the National Science Foundation
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 22 (2009), 739-769
  • MSC (2000): Primary 20G99
  • DOI:
  • MathSciNet review: 2505299