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Representation Theory

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Distinguished conjugacy classes and elliptic Weyl group elements

Author: G. Lusztig
Journal: Represent. Theory 18 (2014), 223-277
MSC (2010): Primary 20G99
Published electronically: August 26, 2014
MathSciNet review: 3251707
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Abstract: We define and study a correspondence between the set of distinguished $ G^0$-conjugacy classes in a fixed connected component of a reductive group $ G$ (with $ G^0$ almost simple) and the set of (twisted) elliptic conjugacy classes in the Weyl group. We also prove a homogeneity property related to this correspondence.

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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139

Received by editor(s): September 13, 2013
Received by editor(s) in revised form: June 9, 2014
Published electronically: August 26, 2014
Additional Notes: The author was supported in part by National Science Foundation grant DMS-0758262.
Article copyright: © Copyright 2014 American Mathematical Society