Racah-Wigner quantum 6j symbols, Ocneanu cells for A(N) diagrams, and quantum groupoids
Nov, 2005Citations per year
Abstract:
We relate quantum 6J symbols of various types (quantum versions of Wigner and Racah symbols) to Ocneanu cells associated with AN Dynkin diagrams. We check explicitly the algebraic structure of the associated quantum groupoids and analyze several examples (A3, A4). Some features relative to cells associated with more general ADE diagrams are also discussed.- Quantum 6J symbols
- Wigner symbols
- Racah symbols
- Ocneanu cells
- Quantum groupoids
- Weak Hopf algebras
- Bigebras
- Fusion algebras
- Quantum symmetries
- Coxeter-Dynkin diagrams
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