Depth-zero base change for ramified $U(2,1)$
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- by Jeffrey D. Adler and Joshua M. Lansky PDF
- Trans. Amer. Math. Soc. 362 (2010), 5569-5599 Request permission
Abstract:
We give an explicit description of $L$-packets and quadratic base change for depth-zero representations of ramified unitary groups in two and three variables. We show that this base change lifting is compatible with a certain lifting of families of representations of finite groups. We conjecture that such a compatibility is valid in much greater generality.References
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Additional Information
- Jeffrey D. Adler
- Affiliation: Department of Mathematics and Statistics, American University, Washington, DC 20016-8050
- MR Author ID: 604177
- Email: jadler@american.edu
- Joshua M. Lansky
- Affiliation: Department of Mathematics and Statistics, American University, Washington, DC 20016-8050
- Email: lansky@american.edu
- Received by editor(s): July 9, 2008
- Received by editor(s) in revised form: September 28, 2009
- Published electronically: May 10, 2010
- © Copyright 2010 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 362 (2010), 5569-5599
- MSC (2000): Primary 22E50; Secondary 20G05, 20G25
- DOI: https://doi.org/10.1090/S0002-9947-10-05212-8
- MathSciNet review: 2657691