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On the representations of disconnected reductive groups over F q

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Author(s)
Lusztig, George
Date Issued
2012
Journal
Recent Developments in Lie Algebras, Groups and Representation Theory
Citation
Lusztig, G., "On the representations of disconnected reductive groups over Fq." In Misra, Kailash C., Daniel K. Nakano, and Brian J. Parshall, eds., Recent Developments in Lie Algebras, Groups and Representation Theory (Providence, R.I.: AMS, 2012) doi 10.1090/pspum/086/1421 ©2012 Author(s)
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Abstract
Let G be a connected reductive algebraic group defined over a finite field Fq. One of the main tools in the study of representations of the finite group G(Fq) over a field of characteristic zero is the use of certain varieties Xw (see [DL1]) on which G(Fq) acts (here w is a Weyl group element). [First paragraph] ©2012 Presented at the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/124880
DOI of Published Version
https://doi.org/10.1090/pspum/086/1421
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