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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. Transformation Groups, 27(3):751-795.

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:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Physical Sciences > Geometry and Topology
Uncontrolled Keywords:Geometry and Topology, Algebra and Number Theory
Language:English
Date:1 September 2022
Deposited On:17 Oct 2022 05:59
Last Modified:27 Apr 2024 01:40
Publisher:Springer
ISSN:1083-4362
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/s00031-021-09670-z
Related URLs:https://www.zora.uzh.ch/id/eprint/221356/
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)