Diagrammatic Construction of Representations of Small Quantum $\mathfrak{sl}_2$
Quantum Algebra
2022-09-20 v3
Abstract
We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of at a root of unity of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley-Lieb category specialized at .
Keywords
Cite
@article{arxiv.1910.12427,
title = {Diagrammatic Construction of Representations of Small Quantum $\mathfrak{sl}_2$},
author = {Christian Blanchet and Marco De Renzi and Jun Murakami},
journal= {arXiv preprint arXiv:1910.12427},
year = {2022}
}
Comments
37 pages, proofs and references expanded in version 3