Möbius Strip Diagram Algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908829403316224 |
|---|---|
| author | Collison, D. W. Tubbenhauer, D. |
| author_facet | Collison, D. W. Tubbenhauer, D. |
| contents | We introduce Möbius strip diagram algebras (and their monoid and categorical versions) as subalgebras of a partition-style diagram calculus in which strands may carry handles and Möbius strip features. We identify the resulting diagram category with a linear quotient of a nonorientable two-dimensional cobordism category. Finally, we develop the associated cell theory and use it to classify the simple modules and compute dimensions in a range of cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11591 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Möbius Strip Diagram Algebras Collison, D. W. Tubbenhauer, D. Representation Theory Group Theory Primary: 20M30, 57R56, Secondary: 16G10, 18M05 We introduce Möbius strip diagram algebras (and their monoid and categorical versions) as subalgebras of a partition-style diagram calculus in which strands may carry handles and Möbius strip features. We identify the resulting diagram category with a linear quotient of a nonorientable two-dimensional cobordism category. Finally, we develop the associated cell theory and use it to classify the simple modules and compute dimensions in a range of cases. |
| title | Möbius Strip Diagram Algebras |
| topic | Representation Theory Group Theory Primary: 20M30, 57R56, Secondary: 16G10, 18M05 |
| url | https://arxiv.org/abs/2602.11591 |