Year: 2015
Type: article
Abstract: In these notes, we compute the Plancherel measures associated with genuine principal series representations of [Formula: see text]-fold covers of [Formula: see text]-adic [Formula: see text]. Along the way, we also compute a higher dimensional metaplectic analog of Shahidi local coefficients. Our method involves new functional equations utilizing the Tate [Formula: see text]-factor and a metaplectic counterpart. As an application, we prove an irreducibility theorem.
Authors: David Goldberg, Dani Szpruch
Institutions: Purdue University West Lafayette, Howard University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Simons Foundation
OpenAlex ID: W2226460797