Work

Micro-packets for real groups of type $G_2$

Year: 2025

Type: preprint

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 $G_2$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2510.25580

Authors: Barchini, Leticia, Robert, Nicolas Arancibia, Mezo, Paul

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7102804959

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