Decomposition of enveloping algebras of simple Lie algebras and their related polynomial 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_ | 1866911787374346240 |
|---|---|
| author | Campoamor-Stursberg, Rutwig Marquette, Ian |
| author_facet | Campoamor-Stursberg, Rutwig Marquette, Ian |
| contents | The decomposition problem of the enveloping algebra of a simple Lie algebra is reconsidered combining both the analytical and the algebraic approach, showing its relation with the internal labelling problem with respect to a nilpotent subalgebra. A lower bound for the number of generators of the commutant as well as the maximal Abelian subalgebra are obtained. The decomposition problem for the exceptional Lie algebra $G_2$ is completely solved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_11395 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Decomposition of enveloping algebras of simple Lie algebras and their related polynomial algebras Campoamor-Stursberg, Rutwig Marquette, Ian Mathematical Physics The decomposition problem of the enveloping algebra of a simple Lie algebra is reconsidered combining both the analytical and the algebraic approach, showing its relation with the internal labelling problem with respect to a nilpotent subalgebra. A lower bound for the number of generators of the commutant as well as the maximal Abelian subalgebra are obtained. The decomposition problem for the exceptional Lie algebra $G_2$ is completely solved. |
| title | Decomposition of enveloping algebras of simple Lie algebras and their related polynomial algebras |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2204.11395 |