Racah - Wigner quantum 6j Symbols, Ocneanu Cells for AN diagrams, and quantum groupoids

Racah - Wigner quantum 6j Symbols, Ocneanu Cells for AN diagrams, and quantum groupoids

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. Some features relative to cells associated w...

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Veröffentlicht in:Journal of geometry and physics 2007-01, Vol.57 (2)
1. Verfasser: Coquereaux, Robert
Format: Artikel
Sprache:eng
Schlagworte:
High Energy Physics - Theory
Mathematical Physics
Mathematics
Physics
Quantum Algebra
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Zusammenfassung: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. Some features relative to cells associated with more general ADE diagrams are also discussed. Version 2: Subsection 2.6.3 was modified as well as two paragraphs in 3.8.1. Misprints corrected.
ISSN:0393-0440
DOI:10.1016/j.geomphys.2006.03.010