English

Explicit Plancherel formula for the space of symplectic forms

Representation Theory 2020-01-31 v2 Number Theory

Abstract

We provide a Plancherel decomposition for the space of symplectic bilinear forms of rank 2n2n over a local non-archimedean field FF in terms of that of GLn(F)GL_n(F).

Keywords

Cite

@article{arxiv.1909.11971,
  title  = {Explicit Plancherel formula for the space of symplectic forms},
  author = {Erez Lapid and Omer Offen},
  journal= {arXiv preprint arXiv:1909.11971},
  year   = {2020}
}

Comments

with an appendix by Dmitry Gourevitch

R2 v1 2026-06-23T11:26:36.903Z