DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl2
- Resource Type
- Original Paper
- Authors
- BLANCHET, C.; RENZI, M. DE; MURAKAMI, J.
- Source
- Transformation Groups. 27(3):751-795
- Subject
- Language
- English
- ISSN
- 1083-4362
1531-586X
We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of sl2 at a root of unity q of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley–Lieb category specialized at δ = −q − q−1.