Clebsch-Gordan and 6j-coefficients for rank two quantum groups
Quantum Algebra
2015-03-17 v2 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1004.5456,
title = {Clebsch-Gordan and 6j-coefficients for rank two quantum groups},
author = {Eddy Ardonne and J. K. Slingerland},
journal= {arXiv preprint arXiv:1004.5456},
year = {2015}
}
Comments
43 pages. v2: minor changes and added references. For mathematica notebooks containing the various q-CG and 6j symbols, see http://arxiv.org/src/1004.5456/anc