Partition identities from higher level crystals of $A_1^{(1)}$
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916648607285248 |
|---|---|
| author | Dousse, Jehanne Hardiman, Leonard Konan, Isaac |
| author_facet | Dousse, Jehanne Hardiman, Leonard Konan, Isaac |
| contents | We study perfect crystals for the standard modules of the affine Lie algebra $A_1^{(1)}$ at all levels using the theory of multi-grounded partitions. We prove a family of partition identities which are reminiscent of the Andrews-Gordon identities and companions to the Meurman-Primc identities, but with simple difference conditions involving absolute values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10279 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Partition identities from higher level crystals of $A_1^{(1)}$ Dousse, Jehanne Hardiman, Leonard Konan, Isaac Combinatorics Number Theory Quantum Algebra Representation Theory 05A15, 05A17, 05A30, 05E10, 11P81, 11P84, 17B10, 17B65, 17B67 We study perfect crystals for the standard modules of the affine Lie algebra $A_1^{(1)}$ at all levels using the theory of multi-grounded partitions. We prove a family of partition identities which are reminiscent of the Andrews-Gordon identities and companions to the Meurman-Primc identities, but with simple difference conditions involving absolute values. |
| title | Partition identities from higher level crystals of $A_1^{(1)}$ |
| topic | Combinatorics Number Theory Quantum Algebra Representation Theory 05A15, 05A17, 05A30, 05E10, 11P81, 11P84, 17B10, 17B65, 17B67 |
| url | https://arxiv.org/abs/2111.10279 |