On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916440058101760 |
|---|---|
| author | Guilhot, Jérémie Little, Eloise Parkinson, James |
| author_facet | Guilhot, Jérémie Little, Eloise Parkinson, James |
| contents | We introduce the combinatorial model of $J$-folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundedness of these representations, and we state conjectures linking our combinatorial formulae to Kazhdan-Lusztig theory and Opdam's Plancherel Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10781 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras Guilhot, Jérémie Little, Eloise Parkinson, James Representation Theory We introduce the combinatorial model of $J$-folded alcove paths in an affine Weyl group and construct representations of affine Hecke algebras using this model. We study boundedness of these representations, and we state conjectures linking our combinatorial formulae to Kazhdan-Lusztig theory and Opdam's Plancherel Theorem. |
| title | On $J$-folded alcove paths and combinatorial representations of affine Hecke algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2212.10781 |