Clebsch-Gordan and 6j-coefficients for rank two quantum groups

Details Clebsch-Gordan and 6j-coefficients for rank two quantum groups Clebsch-Gordan and 6j-coefficients for rank two quantum groups

2010-04-30

arxiv.org/abs/1004.5456v2

J. Phys. A 43, 395205 (2010)

Mathematics

Quantum Algebra

43 pages. v2: minor changes and added references. For mathematica notebooks containing the various q-CG and 6j symbols, see

Scientific paper

10.1088/1751-8113/43/39/395205

We calculate (q-deformed) Clebsch-Gordan and 6j-coefficients for rank two quantum groups. We explain in detail how such calculations are done, which should allow the reader to perform similar calculations in other cases. Moreover, we tabulate the q-Clebsch-Gordan and 6j-coefficients explicitly, as well as some other topological data associated with theories corresponding to rank-two quantum groups. Finally, we collect some useful properties of the fusion rules of particular conformal field theories.

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