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Diagrammatic Construction of Representations of Small Quantum sl2


Blanchet, Christian; De Renzi, Marco; Murakami, Jun (2022). Diagrammatic Construction of Representations of Small Quantum sl2. ArXiv.org 12427, Cornell University.

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.

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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Additional indexing

Item Type:Working Paper
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2022
Deposited On:17 Oct 2022 06:00
Last Modified:24 Jan 2024 15:44
Series Name:ArXiv.org
ISSN:2331-8422
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.48550/arXiv.1910.12427
Related URLs:https://www.zora.uzh.ch/id/eprint/221355/
  • Content: Published Version
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)