DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl 2

C. Blanchet, M. De Renzi*, J. Murakami

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
JournalTransformation Groups
DOIs
Publication statusAccepted/In press - 2021

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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