Classification of unipotent representations of simple $p$-adic groups, II
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Abstract:
Let $\mathbf G(\mathbf K)$ be the group of $\mathbf K$-rational points of a connected adjoint simple algebraic group over a nonarchimedean local field $\mathbf K$. In this paper we classify the unipotent representations of $\mathbf G(\mathbf K)$ in terms of the geometry of the Langlands dual group. This was known earlier in the special case where $\mathbf G(\mathbf K)$ is an inner form of a split group.References
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Additional Information
- G. Lusztig
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@math.mit.edu
- Received by editor(s): November 28, 2001
- Received by editor(s) in revised form: May 3, 2002
- Published electronically: September 10, 2002
- Additional Notes: Supported in part by the National Science Foundation. This paper was written while the author enjoyed the hospitality of the Institut des Hautes Études Scientifiques
- © Copyright 2002 American Mathematical Society
- Journal: Represent. Theory 6 (2002), 243-289
- MSC (2000): Primary 22E50
- DOI: https://doi.org/10.1090/S1088-4165-02-00173-5
- MathSciNet review: 1927955