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Centralizers and Twisted Centralizers: Application to Intertwining Operators

Published online by Cambridge University Press:  20 November 2018

Xiaoxiang Yu*
Affiliation:
Institute of Science, Wuhan Institute of Technology, Hubei, China e-mail: tianyuanwing@yahoo.com
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Abstract

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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.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2006