Racah - Wigner quantum 6j Symbols, Ocneanu Cells for AN diagrams, and quantum groupoids
Abstract
Description
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.
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 added references. Typos corrected
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 added references. Typos corrected