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

Author(s): G. Lusztig
Journal: J. Amer. Math. Soc. 22 (2009), 739-769.
MSC (2000): Primary 20G99
Posted: March 31, 2008
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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$.

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Additional Information:

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: gyuri@math.mit.edu

DOI: 10.1090/S0894-0347-08-00603-6
PII: S 0894-0347(08)00603-6
Received by editor(s): September 19, 2007
Posted: March 31, 2008
Additional Notes: The author was supported in part by the National Science Foundation
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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