Geodesic
Formal degrees and adjoint 𝛾-factors
Hiraga, Kaoru1 ; Ichino, Atsushi2 ; Ikeda, Tamotsu1
1 Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
2 Department of Mathematics, Graduate School of Science, Osaka City University, Osaka 558-8585, Japan
Journal of the American Mathematical Society, Tome 21 (2008) no. 1, pp. 283-304

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-07-00567-X

Hiraga, Kaoru 1 ; Ichino, Atsushi 2 ; Ikeda, Tamotsu 1

1 Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
2 Department of Mathematics, Graduate School of Science, Osaka City University, Osaka 558-8585, Japan 
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Hiraga, Kaoru; Ichino, Atsushi; Ikeda, Tamotsu. Formal degrees and adjoint 𝛾-factors. Journal of the American Mathematical Society, Tome 21 (2008) no. 1, pp. 283-304. doi: 10.1090/S0894-0347-07-00567-X

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