On formal degrees of unipotent representations
Representation Theory
2022-10-11 v1
Abstract
Let G be a reductive p-adic group which splits over an unramified extension of the ground field. Hiraga, Ichino and Ikeda conjectured that the formal degree of a square-integrable G-representation can be expressed in terms of the adjoint -factor of the enhanced L-parameter of . A similar conjecture was posed for the Plancherel densities of tempered irreducible G-representations. We prove these conjectures for unipotent G-representations. We also derive explicit formulas for the involved adjoint -factors.
Keywords
Cite
@article{arxiv.1910.07198,
title = {On formal degrees of unipotent representations},
author = {Yongqi Feng and Eric Opdam and Maarten Solleveld},
journal= {arXiv preprint arXiv:1910.07198},
year = {2022}
}