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The Langlands Correspondence on the Generic Irreducible Constituents of Principal Series

Part of: Lie groups

Published online by Cambridge University Press:  20 November 2018

Wentang Kuo
Wentang Kuo*
Affiliation:
Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, e-mail: wtkuo@math.uwaterloo.ca
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Abstract

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Let $G$ be a connected semisimple split group over a $p$-adic field. We establish the explicit link between principal nilpotent orbits and the irreducible constituents of principal series in terms of $L$-group objects.

Keywords

Langlands correspondencenilpotent orbitsprincipal series

MSC classification

Secondary: 22E50: Representations of Lie and linear algebraic groups over local fields 22E35: Analysis on $p$-adic Lie groups
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 1 , 01 February 2010 , pp. 94 - 108
Copyright
Copyright © Canadian Mathematical Society 2010

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