Automorphism groups of parafermion vertex operator algebras: general case
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910617757024256 |
|---|---|
| author | Lam, Ching Hung Lin, Xingjun Shimakura, Hiroki |
| author_facet | Lam, Ching Hung Lin, Xingjun Shimakura, Hiroki |
| contents | We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. We show that the full automorphism group of the parafermion vertex operator algebra is isomorphic to the automorphism group of the associated root system for the remaining cases: (i) the level is at least $3$; (ii) the level is $2$ and the simple Lie algebra is non simply laced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphism groups of parafermion vertex operator algebras: general case Lam, Ching Hung Lin, Xingjun Shimakura, Hiroki Quantum Algebra Group Theory Primary 17B69, Secondary 17B22, 20B25 We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. We show that the full automorphism group of the parafermion vertex operator algebra is isomorphic to the automorphism group of the associated root system for the remaining cases: (i) the level is at least $3$; (ii) the level is $2$ and the simple Lie algebra is non simply laced. |
| title | Automorphism groups of parafermion vertex operator algebras: general case |
| topic | Quantum Algebra Group Theory Primary 17B69, Secondary 17B22, 20B25 |
| url | https://arxiv.org/abs/2404.17096 |