Posets for Specht ideals of essential real reflection groups
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915350067544064 |
|---|---|
| author | Debus, Sebastian Gottwald, Kurt Klement |
| author_facet | Debus, Sebastian Gottwald, Kurt Klement |
| contents | Specht ideals are symmetric ideals in the polynomial ring generated by Specht polynomials associated with group representations. These ideals were previously studied for reflection groups of types $A$ and $B$, where their inclusion relations and their varieties reflect rich combinatorial structures. In this paper, we extend this theory to type $D$ and the dihedral groups. Our results complete the combinatorial study of Specht ideals across all infinite families of essential real reflection groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Posets for Specht ideals of essential real reflection groups Debus, Sebastian Gottwald, Kurt Klement Combinatorics Algebraic Geometry Specht ideals are symmetric ideals in the polynomial ring generated by Specht polynomials associated with group representations. These ideals were previously studied for reflection groups of types $A$ and $B$, where their inclusion relations and their varieties reflect rich combinatorial structures. In this paper, we extend this theory to type $D$ and the dihedral groups. Our results complete the combinatorial study of Specht ideals across all infinite families of essential real reflection groups. |
| title | Posets for Specht ideals of essential real reflection groups |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2506.15335 |