English

Multiplicities under basechange: finite field case

Representation Theory 2020-03-24 v2 Number Theory

Abstract

A general proposition is proved relating multiplicities (of restriction of a representation of a group to a subgroup) under basechange, and used to calculate some multiplicities for cuspidal representations which become principal series representations under basechange for which multiplicities can be calculated by geometric methods.

Keywords

Cite

@article{arxiv.1909.01850,
  title  = {Multiplicities under basechange: finite field case},
  author = {Dipendra Prasad},
  journal= {arXiv preprint arXiv:1909.01850},
  year   = {2020}
}

Comments

Slightly revised version

R2 v1 2026-06-23T11:05:25.610Z