English

Micro-packets for real groups of type $G_2$

Representation Theory 2025-10-30 v1

Abstract

In their study of Arthur's conjectures for real groups, Adams, Barbasch, and Vogan introduced the notion of micro-packets. Micro-packets are finite sets of irreducible representations defined using microlocal geometric methods and characteristic cycles. We explore an action of the Weyl group on characteristic cycles to compute all micro-packets of real groups of type G2G_2.

Cite

@article{arxiv.2510.25580,
  title  = {Micro-packets for real groups of type $G_2$},
  author = {Leticia Barchini and Nicolas Arancibia Robert and Paul Mezo},
  journal= {arXiv preprint arXiv:2510.25580},
  year   = {2025}
}
R2 v1 2026-07-01T07:12:02.924Z