Formal degrees and adjoint -factors
Authors:
Kaoru Hiraga, Atsushi Ichino and Tamotsu Ikeda
Journal:
J. Amer. Math. Soc. 21 (2008), 283-304
MSC (2000):
Primary 22E50
DOI:
https://doi.org/10.1090/S0894-0347-07-00567-X
Published electronically:
June 5, 2007
Erratum:
J. Amer. Math. Soc. 21 (2008), 1211-1213.
MathSciNet review:
2350057
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We give a conjectural formula for the formal degree of a discrete series representation in terms of the adjoint -factor. Our conjecture is supported by various examples and is compatible with the Weyl dimension formula. Using twisted endoscopy, we also verify the conjecture for a stable discrete series representation of
over a non-archimedean local field of characteristic zero.
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Additional Information
Kaoru Hiraga
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
Email:
hiraga@math.kyoto-u.ac.jp
Atsushi Ichino
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka City University, Osaka 558-8585, Japan
Email:
ichino@sci.osaka-cu.ac.jp
Tamotsu Ikeda
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
Email:
ikeda@math.kyoto-u.ac.jp
DOI:
https://doi.org/10.1090/S0894-0347-07-00567-X
Received by editor(s):
July 5, 2006
Published electronically:
June 5, 2007
Dedicated:
Dedicated to Professor Hiroshi Saito on the occasion of his sixtieth birthday
Article copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.