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Lifting
representations of finite reductive groups: a character
relation
Jeffrey D. Adler, Michael Cassel, Joshua M. Lansky, Emma Morgan and Yifei Zhao
Vol. 9 (2016), No. 5, 805–812
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Abstract |
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Given a connected reductive group over a finite field , and a semisimple -automorphism of of finite order, let denote the connected part of the group of -fixed points. Two of the authors have previously shown that there exists a natural lifting from series of representations of to series for . In the case of Deligne–Lusztig representations, we show that this lifting satisfies a character relation analogous to that of Shintani. |
Keywords
finite reductive groups, Deligne–Lusztig representations,
liftings, character relations
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Mathematical Subject Classification 2010
Primary: 20C33
Secondary: 20G40
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Milestones
Received: 27 May 2015
Revised: 1 November 2015
Accepted: 3 November 2015
Published: 25 August 2016
Communicated by Ken Ono
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Authors |
| Jeffrey D. Adler | |
| Department of Mathematics and
Statistics American University Washington, DC 20016 %-8050 United States |
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| Michael Cassel | |
| Columbia University New York, NY 10027 %-7297 United States |
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| Joshua M. Lansky | |
| Department of Mathematics and
Statistics American University Washington, DC 20016 %-8050 United States |
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| Emma Morgan | |
| Office of Institutional Research and
Evaluation Tufts University Medford, MA 02155 United States |
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| Yifei Zhao | |
| Department of Mathematics Harvard University Cambridge, MA 02138 United States |
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