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TYPES IN SLn
Published online by Cambridge University Press: 09 July 2002
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.
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- 2002 London Mathematical Society
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