Second adjointness for tempered admissible representations of a real group

Alexander Y. Yom Din

doi:10.1007/s11856-021-2178-1

Second adjointness for tempered admissible representations of a real group

Alexander Y. Yom Din

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	215-244
Number of pages	30
Journal	Israel Journal of Mathematics
Volume	244
Issue number	1
DOIs	https://doi.org/10.1007/s11856-021-2178-1
State	Published - Sep 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-021-2178-1

Cite this

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title = "Second adjointness for tempered admissible representations of a real group",

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{\textquoteright}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.",

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AB - 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.

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DO - 10.1007/s11856-021-2178-1

M3 - مقالة

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Second adjointness for tempered admissible representations of a real group

Abstract

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