Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.12057 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911215859531776 |
|---|---|
| author | Yu, Zhihang |
| author_facet | Yu, Zhihang |
| contents | Parahoric Lusztig induction gives a broad class of virtual smooth representations of parahoric subgroups in a $p$-adic group, serving as a natural generalization of classical Lusztig induction to the $p$-adic setting. This construction has important applications in the representation theory of p-adic groups. In this paper, we prove the Mackey formula for parahoric Lusztig induction in generic case, which generalizes a classic result of Lusztig in 1976. As an application, we describe the irreducible decomposition of paragoric Deligne-Lusztig representations for the case of elliptic torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12057 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic Mackey Formula for Parahoric Lusztig Functors Yu, Zhihang Representation Theory Parahoric Lusztig induction gives a broad class of virtual smooth representations of parahoric subgroups in a $p$-adic group, serving as a natural generalization of classical Lusztig induction to the $p$-adic setting. This construction has important applications in the representation theory of p-adic groups. In this paper, we prove the Mackey formula for parahoric Lusztig induction in generic case, which generalizes a classic result of Lusztig in 1976. As an application, we describe the irreducible decomposition of paragoric Deligne-Lusztig representations for the case of elliptic torus. |
| title | Generic Mackey Formula for Parahoric Lusztig Functors |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2508.12057 |