Classification of distinguished representations of GL(2)
Representation Theory
2025-06-30 v1 Number Theory
Abstract
Let be a non-archimedean local field with odd residual characteristic, and let be a maximal torus of . In this paper, we will classify the irreducible -distinguished representations of by using Casselman's criteria for -adic symmetric spaces developed by Kato-Takano.
Cite
@article{arxiv.2506.22097,
title = {Classification of distinguished representations of GL(2)},
author = {Yuki Matsumoto},
journal= {arXiv preprint arXiv:2506.22097},
year = {2025}
}