A note on symmetric linear forms and traces on the restricted quantum group \(\bar U_q(\mathfrak{sl}(2))\)

zbMath1458.16039arXiv1801.07524MaRDI QIDQ782378

Matthieu Faitg

Publication date: 27 July 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07524

zbMATH Keywords

centertraceprojective modulesimple modulemodified tracerestricted quantum groupsymmetric linear form

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (1)

Modular group representations in combinatorial quantization with non-semisimple Hopf algebras

Cites Work

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• Generalized trace and modified dimension functions on ribbon categories
• Generalized Kashaev invariants for knots in three manifolds
• Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to \(\mathfrak{sl}_2\)
• Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
• A construction of symmetric linear functions on the restricted quantum group \(\overline U_q(sl_2)\).
• Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
• The trace function and Hopf algebras
• Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\)
• Logarithmic Hennings invariants for restricted quantum \(\mathfrak{s}\mathfrak{l}\)(2)
• Modular group representations in combinatorial quantization with non-semisimple Hopf algebras
• Radford, Drinfeld and Cardy boundary states in the (1,p) logarithmic conformal field models

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