Kostant's generating functions and McKay-Slodowy correspondence
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912314600456192 |
|---|---|
| author | Jing, Naihuan Li, Zhijun Wang, Danxia |
| author_facet | Jing, Naihuan Li, Zhijun Wang, Danxia |
| contents | Let $N\unlhd G$ be a pair of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ and $V$ a finite-dimensional fundamental $G$-module. We study Kostant's generating functions for the decomposition of the $\mathrm{SL}_2(\mathbb C)$-module $S^k(V)$ restricted to $N\lhd G$ in connection with the McKay-Slodowy correspondence. In particular, the classical Kostant formula was generalized to a uniform version of the Poincaré series for the symmetric invariants in which the multiplicities of any individual module in the symmetric algebra are completely determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00980 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kostant's generating functions and McKay-Slodowy correspondence Jing, Naihuan Li, Zhijun Wang, Danxia Representation Theory Quantum Algebra Let $N\unlhd G$ be a pair of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$ and $V$ a finite-dimensional fundamental $G$-module. We study Kostant's generating functions for the decomposition of the $\mathrm{SL}_2(\mathbb C)$-module $S^k(V)$ restricted to $N\lhd G$ in connection with the McKay-Slodowy correspondence. In particular, the classical Kostant formula was generalized to a uniform version of the Poincaré series for the symmetric invariants in which the multiplicities of any individual module in the symmetric algebra are completely determined. |
| title | Kostant's generating functions and McKay-Slodowy correspondence |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2309.00980 |