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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)


Study of a $ \mathbf Z$-form of the coordinate ring of a reductive group

Author: G. Lusztig
Journal: J. Amer. Math. Soc. 22 (2009), 739-769
MSC (2000): Primary 20G99
Published electronically: March 31, 2008
MathSciNet review: 2505299
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Abstract | References | Similar Articles | Additional Information

Abstract: 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$.

References [Enhancements On Off] (What's this?)

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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

PII: S 0894-0347(08)00603-6
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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