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Waldspurger's involution and lifting of characters

Author(s): Stephen Devlin; Jason Schultz
Journal: Proc. Amer. Math. Soc. 135 (2007), 911-919.
MSC (2000): Primary 22E50; Secondary 11F70
Posted: September 11, 2006
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Abstract: We show that Adams's $ L$-packet of discrete series representations of the two-fold metaplectic cover of $ SL_2$ coincides with Waldspurger's local near equivalence class.

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Additional Information:

Stephen Devlin
Affiliation: Department of Mathematics, University of San Francisco, 2130 Fulton Street, San Francisco, California 94117
Email: smdevlin@usfca.edu

Jason Schultz
Affiliation: Office of the Chief Actuary, Social Security Administration, Baltimore, Maryland 21235

DOI: 10.1090/S0002-9939-06-08522-4
PII: S 0002-9939(06)08522-4
Received by editor(s): February 14, 2005
Received by editor(s) in revised form: October 3, 2005
Posted: September 11, 2006
Additional Notes: This article was co-authored by Jason Schultz in his private capacity. No official support or endorsement by the Social Security Administration or the United States is intended or should be inferred.
Communicated by: Dan M. Barbasch
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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