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# The Langlands Correspondence on the Generic Irreducible Constituents of Principal Series

Published:2009-12-04
Printed: Feb 2010
• Wentang Kuo,
University of Waterloo, Canada
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## Abstract

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 correspondence, nilpotent orbits, principal series
 MSC Classifications: 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05] 22E35 - Analysis on $p$-adic Lie groups

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