On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups

Abstract

The formal degree conjecture relates the formal degree of an irreducible square-integrable representation of a reductive group over a local field to the special value of the adjoint $\gamma$-factor of its $L$-parameter. In this paper, we prove the formal degree conjecture for odd special orthogonal and metaplectic groups in the generic case, which combined with Arthur's work on the local Langlands correspondence implies the conjecture in full generality.

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References in corpus (4)

• A conjecture on Whittaker-Fourier coefficients of cusp forms
• Model transition for representations of metaplectic type
• Formule de Plancherel pour les fonctions de Whittaker sur un groupe réductif $p$-adique
• Whittaker-Fourier coefficients of cusp forms on ${\widetilde{Sp}}_n$: reduction to a local statement

Cited by in corpus (2)

• On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group
• Epsilon dichotomy for twisted linear models