Diagrammatic construction of representations of small quantum \(\mathfrak{sl}_2\)

DOI10.1007/s00031-021-09670-zOpenAlexW3202195835MaRDI QIDQ2674763

Yanyan Li

Publication date: 14 September 2022

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12427

zbMATH Keywords

quantum grouptanglelinear monoidal category

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) String diagrams and graphical calculi (18M30)

Related Items (3)

Non-semisimple 3-manifold invariants derived from the Kauffman bracket ⋮ \(\mathrm{SL}_2\) tilting modules in the mixed case ⋮ Limits of traces of Temperley-Lieb algebras

Cites Work

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• Index for subfactors
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• 3-dimensional TQFTs from non-semisimple modular categories
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• Quantum Groups at a Root of 1 and Tangle Invariants
• Non-semisimple planar algebras from the representation theory of Ūq(𝔰𝔩2)
• Diagrammatic morphisms between indecomposable modules of Ūq(𝔰𝔩2)
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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