On C-small conjugacy classes in a reductive group
Name
Lusztig_On C-Small (arxiv).pdf
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201.43 KB
Format
Adobe PDF
Checksum (MD5)
a743c8358a54724e55ac8eb424dbd6d3
Author(s)
Lusztig, George
Date Issued
June 2011
Journal
Transformation Groups
Publisher
Birkhauser Boston
Citation
Lusztig, G. “On C-small Conjugacy Classes in a Reductive Group.” Transformation Groups 16.3 (2011): 807–825. Web.
Version
Author's final manuscript
Abstract
Let G be an almost simple reductive group with Weyl group W. Let B be a Borel subgroup of G. Let w be an elliptic element of W which has minimal length in its conjugacy class. We show that in almost all cases there exists a semisimple class in G whose intersection with BwB has dimension dim(B).
Description
Dedicated to Tonny Springer on the occasion of his 85th birthday
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00031-011-9145-6
