Micro-packets containing generic representations
Representation Theory
2025-10-31 v1
Abstract
For a real group , it is known from the work of Kostant and Vogan that the L-packet associated with an L-parameter of contains a \emph{generic} representation if and only if the -orbit in the variety of geometric parameters corresponding to is open. In these notes, we generalize this result slightly by proving that the same equivalence holds when the L-packet of is replaced by the micro-packet attached to by Adams-Barbasch-Vogan. As a corollary, we deduce the Enhanced Shahidi Conjecture for real groups: the Arthur packet attached to an A-parameter of contains a generic representation if and only if is trivial.
Cite
@article{arxiv.2510.26343,
title = {Micro-packets containing generic representations},
author = {Nicolas Arancibia Robert},
journal= {arXiv preprint arXiv:2510.26343},
year = {2025}
}
Comments
15 pages