Elliptic elements in a Weyl group: a homogeneity property

Author:
G. Lusztig

Journal:
Represent. Theory **16** (2012), 127-151

MSC (2010):
Primary 20G99

Published electronically:
February 20, 2012

MathSciNet review:
2888173

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Abstract: Let be a reductive group over an algebraically closed field whose characteristic is not a bad prime for . Let be an elliptic element of the Weyl group which has minimum length in its conjugacy class. We show that there exists a unique unipotent class in such that the following holds: if is the variety of pairs where and is a Borel subgroup such that are in relative position , then is a homogeneous -space.

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Additional Information

**G. Lusztig**

Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

DOI:
https://doi.org/10.1090/S1088-4165-2012-00409-5

Received by editor(s):
January 13, 2011

Received by editor(s) in revised form:
June 17, 2011

Published electronically:
February 20, 2012

Additional Notes:
Supported in part by the National Science Foundation

Article copyright:
© Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.