Principal nilpotent orbits and reducible principal series

Kuo, Wentang

doi:10.1090/S1088-4165-02-00132-2

Principal nilpotent orbits and reducible principal series
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by Wentang Kuo

Represent. Theory 6 (2002), 127-159

DOI: https://doi.org/10.1090/S1088-4165-02-00132-2

Published electronically: July 25, 2002

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Abstract:

Let $G$ be a split reductive $p$-adic group. In this paper, we establish an explicit link between principal nilpotent orbits of $G$ and the irreducible constituents of principal series of $G$. A geometric characterization of certain irreducible constituents is also provided.

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