Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations
Representation Theory
2024-10-01 v3
Abstract
In this paper we prove that Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations, as conjectured by D. Prasad. In particular, this implies a conjectural Euler--Poincar\'e characteristic formula for Gan--Gross--Prasad models. Besides, we also single out a special class of tempered representations, which includes the Steinberg representation, and show that the restrictions of them are projective.
Keywords
Cite
@article{arxiv.2303.12619,
title = {Ext-analogues of Gan--Gross--Prasad models vanish for tempered representations},
author = {Rui Chen},
journal= {arXiv preprint arXiv:2303.12619},
year = {2024}
}
Comments
21 pages, add a new related result. Comments welcome!