descriptionPublicationkeyboard_double_arrow_right Article , Preprint 03 Jun 2021Embargo end date: 01 Jan 2019 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,022, pages 14,255-14,294 (issn: 1073-7928, eissn: 1687-0247,

Authors: Lapid, Erez; Offen, Omer;

doi: 10.1093/imrn/rnab106 , 10.48550/arxiv.1909.11971

arXiv: 1909.11971

Explicit Plancherel Formula for the Space of Symplectic Forms

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Abstract

Abstract We provide a Plancherel decomposition for the space of symplectic bilinear forms of rank $2n$ over a local non-Archimedean field $F$ in terms of that of $\operatorname{GL}_n(F)$.

Related Organizations

Brandeis University
United States
Weizmann Institute of Science
Israel

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Representation Theory (math.RT), Mathematics - Representation Theory

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