Casselman--Shahidi conjecture on the singularity of intertwining operators: groups of exceptional type
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866929509969690624 |
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| author | Luo, Caihua |
| author_facet | Luo, Caihua |
| contents | As a sequel to our recent work on Casselman--Shahidi's holomorphicity conjecture on half-normalized intertwining operators for quasi-split classical groups, we modify our method, based on a lemma of Heiermann--Opdam, to prove certain cases of the conjecture for groups of exceptional type uniformly. One main ingredient, established here, is to find an algorithm to produce reduced decompositions of co-rank one relative longest Weyl elements, in terms of certain "small" counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_02694 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Casselman--Shahidi conjecture on the singularity of intertwining operators: groups of exceptional type Luo, Caihua Representation Theory Number Theory 11F66, 11F70, 22E35, 22E50, 17B22 As a sequel to our recent work on Casselman--Shahidi's holomorphicity conjecture on half-normalized intertwining operators for quasi-split classical groups, we modify our method, based on a lemma of Heiermann--Opdam, to prove certain cases of the conjecture for groups of exceptional type uniformly. One main ingredient, established here, is to find an algorithm to produce reduced decompositions of co-rank one relative longest Weyl elements, in terms of certain "small" counterparts. |
| title | Casselman--Shahidi conjecture on the singularity of intertwining operators: groups of exceptional type |
| topic | Representation Theory Number Theory 11F66, 11F70, 22E35, 22E50, 17B22 |
| url | https://arxiv.org/abs/2207.02694 |