ON BIALGEBRAS ASSOCIATED WITH PATHS AND ESSENTIAL PATHS ON ADE GRAPHS

DOI10.1142/S0219887805000582zbMath1102.81049arXivmath-ph/0411048OpenAlexW2085426783MaRDI QIDQ5696532

A. O. García, Robert Coquereaux

Publication date: 18 October 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0411048

zbMATH Keywords

weak Hopf algebrasquantum groupsconformal field theoriesquantum symmetriesquantum groupoidsOcneanu cellsADE graphsCoxeter-Dynkin systemsDTAessential pathsRacah-Wigner bialgebras

Mathematics Subject Classification ID

Related Items (1)

Racah-Wigner quantum \(6j\) symbols, Ocneanu cells for \(A_N\) diagrams and quantum groupoids

Cites Work

• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Hopf stars, twisted Hopf stars and scalar products on quantum spaces
• On quantum symmetries of ADE graphs
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
• Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
• The many faces of Ocneanu cells

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