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ISSN 1088-6834(e) ISSN 0894-0347(p)

Formal degrees and adjoint $\gamma$ -factors

Author(s): Kaoru Hiraga; Atsushi Ichino; Tamotsu Ikeda
Journal: J. Amer. Math. Soc. 21 (2008), 283-304.
MSC (2000): Primary 22E50
Posted: June 5, 2007
Errata: J. Amer. Math. Soc. 21 (2008), 1211-1213.
MathSciNet review: 2350057
Retrieve article in: 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 $\gamma$ -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 $\operatorname{U}(3)$ over a non-archimedean local field of characteristic zero.

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