Lie groupoids, the Satake compactification and the tempered dual, II: The Harish-Chandra principle
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912734674681856 |
|---|---|
| author | Bradd, Jacob Higson, Nigel Yuncken, Robert |
| author_facet | Bradd, Jacob Higson, Nigel Yuncken, Robert |
| contents | We give a geometric account of Harish-Chandra's principle that a tempered irreducible representation of a real reductive group is either square-integrable modulo center, or embeddable in a representation that is parabolically induced from such a representation. Our approach uses the Satake compactification, an associated groupoid that was constructed in the first paper of this series, and its $C^*$-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lie groupoids, the Satake compactification and the tempered dual, II: The Harish-Chandra principle Bradd, Jacob Higson, Nigel Yuncken, Robert Representation Theory Operator Algebras 22E45, 22A22 We give a geometric account of Harish-Chandra's principle that a tempered irreducible representation of a real reductive group is either square-integrable modulo center, or embeddable in a representation that is parabolically induced from such a representation. Our approach uses the Satake compactification, an associated groupoid that was constructed in the first paper of this series, and its $C^*$-algebra. |
| title | Lie groupoids, the Satake compactification and the tempered dual, II: The Harish-Chandra principle |
| topic | Representation Theory Operator Algebras 22E45, 22A22 |
| url | https://arxiv.org/abs/2511.22635 |