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# Centralizers and Twisted Centralizers: Application to Intertwining Operators

Published:2006-06-01
Printed: Jun 2006
• Xiaoxiang Yu
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## Abstract

ABSTRACT The equality of the centralizer and twisted centralizer is proved based on a case-by-case analysis when the unipotent radical of a maximal parabolic subgroup is abelian. Then this result is used to determine the poles of intertwining operators.
 MSC Classifications: 11F70 - Representation-theoretic methods; automorphic representations over local and global fields