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TYPES IN SLn

Published online by Cambridge University Press:  09 July 2002

DAVID GOLDBERG  and
ALAN ROCHE
DAVID GOLDBERG
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA. goldberg@math.purdue.edu
ALAN ROCHE
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA. aroche@math.ou.edu
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Abstract

Let $G = SL_n(F)$ where $F$ is a non-Archimedean local field. This paper concerns the smooth (complex) representation theory of $G$, specifically, the construction of types in $G$, in the sense of Bushnell and Kutzko. The main result describes a type for each non-supercuspidal component of the Bernstein decomposition of $G$. If this is combined with earlier work of Bushnell and Kutzko, it follows that $G$ admits a complete set of types.

2000 Mathematical Subject Classification: 22E50.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 85 , Issue 1 , March 2002 , pp. 119 - 138
Copyright
2002 London Mathematical Society

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