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Representation Theory

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Classification of unipotent representations of simple $p$-adic groups, II

Author: G. Lusztig
Journal: Represent. Theory 6 (2002), 243-289
MSC (2000): Primary 22E50
Published electronically: September 10, 2002
MathSciNet review: 1927955
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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.

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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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
Article copyright: © Copyright 2002 American Mathematical Society