Formal degrees and adjoint 𝛾-factors-Reference-Cited by-同舟云学术

Formal degrees and adjoint 𝛾-factors

Published:2007-06-05 Issue:1 Volume:21 Page:283-304
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Hiraga Kaoru,Ichino Atsushi,Ikeda Tamotsu

Abstract

We give a conjectural formula for the formal degree of a discrete series representation in terms of the adjoint γ \gamma -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 U ⁡ ( 3 ) \operatorname {U}(3) over a non-archimedean local field of characteristic zero.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2008-21-01/S0894-0347-07-00567-X/S0894-0347-07-00567-X.pdf

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