Generalized diagram categories and monoids, and their representations
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917156831100928 |
|---|---|
| author | Fresacher, Matthias Stewart, Willow Tubbenhauer, Daniel |
| author_facet | Fresacher, Matthias Stewart, Willow Tubbenhauer, Daniel |
| contents | Classical diagram categories and monoids, including the Temperley--Lieb, Brauer, and partition cases, arise as special instances of the category of two dimensional cobordisms and admit additional twists that produce a large new family of diagram categories and monoids. In this paper we introduce this family and develop a unified approach to their representation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized diagram categories and monoids, and their representations Fresacher, Matthias Stewart, Willow Tubbenhauer, Daniel Representation Theory Combinatorics Group Theory Primary: 20G05, 05E10, Secondary: 20M30, 05E16 Classical diagram categories and monoids, including the Temperley--Lieb, Brauer, and partition cases, arise as special instances of the category of two dimensional cobordisms and admit additional twists that produce a large new family of diagram categories and monoids. In this paper we introduce this family and develop a unified approach to their representation theory. |
| title | Generalized diagram categories and monoids, and their representations |
| topic | Representation Theory Combinatorics Group Theory Primary: 20G05, 05E10, Secondary: 20M30, 05E16 |
| url | https://arxiv.org/abs/2512.17177 |