Diagrammatic Construction of Representations of Small Quantum $\mathfrak{sl}_2$
| Autor: | M. De Renzi, C. Blanchet, Jun Murakami |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Quantum group Root of unity Monoidal category Order (ring theory) Extension (predicate logic) Diagrammatic reasoning Mathematics::Category Theory Mathematics - Quantum Algebra Fundamental representation FOS: Mathematics Quantum Algebra (math.QA) Geometry and Topology Quantum Mathematics |
| Popis: | We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of $\mathfrak{sl}_2$ 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 $\delta = -q-q^{-1}$. Comment: 37 pages, proofs and references expanded in version 3 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|