Higher Ext-groups and Relatively Supercuspidal Spectra
Number Theory
2025-03-04 v2 Representation Theory
Abstract
Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations using top degree Ext-groups via the Schneider-Stuhler duality. As examples, the relatively supercuspidal spectra for the Galois case and the triple product case are determined.
Keywords
Cite
@article{arxiv.2108.05591,
title = {Higher Ext-groups and Relatively Supercuspidal Spectra},
author = {Li Cai and Yangyu Fan},
journal= {arXiv preprint arXiv:2108.05591},
year = {2025}
}