Publication: Diagrammatic Construction of Representations of Small Quantum sl2
Diagrammatic Construction of Representations of Small Quantum sl2
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Blanchet, C., De Renzi, M., & Murakami, J. (2022). Diagrammatic Construction of Representations of Small Quantum sl2. Transformation Groups, 27(3), 751–795. https://doi.org/10.1007/s00031-021-09670-z
Abstract
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Abstract
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.
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- Blanchet, Christian
- De Renzi, Marco
- Murakami, Jun
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Citations
Blanchet, C., De Renzi, M., & Murakami, J. (2022). Diagrammatic Construction of Representations of Small Quantum sl2. Transformation Groups, 27(3), 751–795. https://doi.org/10.1007/s00031-021-09670-z
