The Generalized Injectivity Conjecture
Number Theory
2023-05-31 v3
Abstract
We prove a conjecture of Casselman and Shahidi stating that the unique irreducible generic subquotient of a standard module is necessarily a subrepresentation for a large class of connected quasi-split reductive groups, in particular for those which have a root system of classical type (or product of such groups). To do so, we prove and use the existence of strategic embeddings for irreducible generic discrete series representations, extending some results of Moeglin.
Cite
@article{arxiv.1904.02525,
title = {The Generalized Injectivity Conjecture},
author = {Sarah Dijols},
journal= {arXiv preprint arXiv:1904.02525},
year = {2023}
}
Comments
accepted for publication at Bulletin de la SMF, slightly shortened version (67p)