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arXiv · 2402.16456

Formal Degrees and Parabolic Induction: the Maximal Generic Case

Yiyang Wang
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Abstract

We study the compatibility of the formal degree conjecture and the parabolic induction process in the simplest nontrivial case for quasi-split $p$-adic groups. For a generic discrete series $π$ induced from an irreducible supercuspidal $σ$ of a maximal Levi subgroup, we compute the quotient $d(π)/d(σ)$ of formal degrees under some assumptions. As an application, we verify the conjecture for discrete series of split $\mathrm{G}_2$ supported on maximal Levi subgroups.

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Yiyang Wang. 2025-07-18. Formal Degrees and Parabolic Induction: the Maximal Generic Case. https://arxiv.org/abs/2402.16456

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