Triality and adjoint lifting for GL(3)
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909038173749248 |
|---|---|
| author | Gan, Wee Teck |
| author_facet | Gan, Wee Teck |
| contents | Using the stable twisted trace formula for the triality automorphism, we show the adjoint lifting (to GL(8)) of cuspidal representations of GL(3) with a discrete series local component. We also describe the possible isobaric decompositions of the resulting automorphic representations on GL(8) and discuss applications towards Ramanujan bounds for GL(3) and the strong Artin conjecture for certain 3-dimensional Galois representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08307 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triality and adjoint lifting for GL(3) Gan, Wee Teck Number Theory Representation Theory 11F70, 11F72, 22E55 Using the stable twisted trace formula for the triality automorphism, we show the adjoint lifting (to GL(8)) of cuspidal representations of GL(3) with a discrete series local component. We also describe the possible isobaric decompositions of the resulting automorphic representations on GL(8) and discuss applications towards Ramanujan bounds for GL(3) and the strong Artin conjecture for certain 3-dimensional Galois representations. |
| title | Triality and adjoint lifting for GL(3) |
| topic | Number Theory Representation Theory 11F70, 11F72, 22E55 |
| url | https://arxiv.org/abs/2512.08307 |