Character Sheaves for Graded Lie Algebras: Stable Gradings
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2020
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912287334334464 |
|---|---|
| author | Vilonen, Kari Xue, Ting |
| author_facet | Vilonen, Kari Xue, Ting |
| contents | In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analysing the Fourier transform of the nearby cycle sheaves constructed in [GVX2]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_08111 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Character Sheaves for Graded Lie Algebras: Stable Gradings Vilonen, Kari Xue, Ting Representation Theory Algebraic Geometry In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analysing the Fourier transform of the nearby cycle sheaves constructed in [GVX2]. |
| title | Character Sheaves for Graded Lie Algebras: Stable Gradings |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2012.08111 |