Some symmetries of quantum dimensions

DOI10.1063/1.528673zbMath0731.22017OpenAlexW2006992482MaRDI QIDQ3356556

Jürgen Fuchs, Peter Van Driel

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528673

zbMATH Keywords

quantum groupuniversal enveloping algebrafusion rulesquantum dimensionstensor products of irreducible representationsq-deformationquasitriangular Hopf algebrasimple finite-dimensional Lie algebraWess-Zumino-Witten conformal field theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Level-rank duality of D-branes on the \(\text{SU}(N)\) group manifold, Level-rank duality of untwisted and twisted D-branes, Twisted D-branes of the \(\widehat{\text{su}}(N)_K\) WZW model and level-rank duality, Simple WZW currents, Level-rank duality of WZW models in conformal field theory, Conformal embeddings, rank-level duality and exceptional modular invariants

Cites Work

• Quantum group interpretation of some conformal field theories
• Hidden quantum symmetries in rational conformal field theories
• Irreducible representations of the quantum analogue of SU(2)
• Classical and quantum conformal field theory
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• Hecke algebras of type \(A_ n\) and subfactors
• Duality and quantum groups
• Superselection sectors with braid group statistics and exchange algebras
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• The connections between Wess-Zumino-Witten models and free field theories