Second adjointness for tempered admissible representations of a real group

Alexander Y. Yom Din*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study second adjointness in the context of tempered admissible representations of a real reductive group. Compared to a recent result of Crisp and Higson, this generalizes from SL2 to a general group, but specializes to only considering admissible representations. We also discuss Casselman’s canonical pairing in this context, and the relation to Bernstein morphisms. Additionally, we take the opportunity to discuss some relevant functors and some of their relations.

Original languageAmerican English
Pages (from-to)215-244
Number of pages30
JournalIsrael Journal of Mathematics
Volume244
Issue number1
DOIs
StatePublished - Sep 2021

Bibliographical note

Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.

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