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arXiv · 2510.25580

Micro-packets for real groups of type $G_2$

Leticia Barchini·Nicolas Arancibia Robert·Paul Mezo
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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 $G_2$.

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Leticia Barchini, Nicolas Arancibia Robert, Paul Mezo. 2025-10-29. Micro-packets for real groups of type $G_2$. https://arxiv.org/abs/2510.25580

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