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Representation Theory

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From conjugacy classes in the Weyl group to unipotent classes

Author: G. Lusztig
Journal: Represent. Theory 15 (2011), 494-530
MSC (2010): Primary 20G99
Published electronically: June 8, 2011
MathSciNet review: 2833465
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Abstract: Let $G$ be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes in $G$.

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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
MR Author ID: 117100

Received by editor(s): April 22, 2010
Received by editor(s) in revised form: August 11, 2010
Published electronically: June 8, 2011
Additional Notes: Supported in part by the National Science Foundation
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.