TY - JOUR
T1 - Second adjointness for tempered admissible representations of a real group
AU - Yom Din, Alexander Y.
N1 - Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.
PY - 2021/9
Y1 - 2021/9
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85113135184&partnerID=8YFLogxK
U2 - 10.1007/s11856-021-2178-1
DO - 10.1007/s11856-021-2178-1
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AN - SCOPUS:85113135184
SN - 0021-2172
VL - 244
SP - 215
EP - 244
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -