Diagrammatic construction of representations of small quantum sl2

Christian Blanchet; Marco De Renzi; Jun Murakami

Diagrammatic construction of representations of small quantum sl₂

Christian Blanchet, Marco De Renzi, Jun Murakami

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2019 Oct 27

ASJC Scopus subject areas

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title = "Diagrammatic construction of representations of small quantum sl2",

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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