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Representation Theory
Representation Theory
ISSN 1088-4165

 

The Bernstein center in terms of invariant locally integrable functions


Authors: Allen Moy and Marko Tadic
Journal: Represent. Theory 6 (2002), 313-329
MSC (2000): Primary 22E50, 22E35
Published electronically: November 19, 2002
Erratum: Represent. Theory 9 (2005), 455-456.
MathSciNet review: 1979109
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Abstract: We give a description of the Bernstein center of a reductive $p$-adic group $G$ in terms of invariant locally integrable functions and compute a basis of these functions for the group $SL(2)$.


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Additional Information

Allen Moy
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109; Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, SAR
Email: moy@math.lsa.umich.edu, amoy@math.ust.hk

Marko Tadic
Affiliation: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
Email: tadic@math.hr

DOI: http://dx.doi.org/10.1090/S1088-4165-02-00181-4
PII: S 1088-4165(02)00181-4
Received by editor(s): February 7, 2002
Received by editor(s) in revised form: August 27, 2002
Published electronically: November 19, 2002
Additional Notes: The first and second authors acknowledge partial support from the National Science Foundation grants DMS-9801264 and DMS-0100413
The second author acknowledges partial support from the Croatian Ministry of Science and Technology grant #37001
Article copyright: © Copyright 2002 American Mathematical Society