Micro-packets for real groups of type $G_2$
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909876411695104 |
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| author | Barchini, Leticia Robert, Nicolas Arancibia Mezo, Paul |
| author_facet | Barchini, Leticia Robert, Nicolas Arancibia Mezo, Paul |
| contents | 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 $G_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25580 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Micro-packets for real groups of type $G_2$ Barchini, Leticia Robert, Nicolas Arancibia Mezo, Paul Representation Theory 22E47 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 $G_2$. |
| title | Micro-packets for real groups of type $G_2$ |
| topic | Representation Theory 22E47 |
| url | https://arxiv.org/abs/2510.25580 |