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Available in print format 		Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

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
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$.

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C. Chevalley, Certains schémas de groupes semi-simples, Sém. Bourbaki 1960/61, Soc. Math. France, 1995. MR 1611814

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G. Lusztig, Quantum groups at $ v=\infty $, Functional analysis on the eve of the 21st century, I, Progr. in Math., vol. 131, Birkhäuser, Boston, 1995, pp. 199-221. MR 1373004 (97g:17014)

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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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