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

Details 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

2005-11-29

arxiv.org/abs/hep-th/0511293v2

J.Geom.Phys.57:387-434,2007

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, 27 figures. Version 2: Contents of subsections 2.6.3 and 3.8.1 have been changed. Fig. 9 was replaced. Updated and a

Scientific paper

10.1016/j.geomphys.2006.03.010

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.

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