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

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

Eddy Ardonne
(
- Nordita
)
,
J.K. Slingerland
(
- NUIM, Maynooth and
- Dublin Inst.
)

Apr, 2010

43 pages

Published in:

J.Phys.A 43 (2010) 395205

e-Print:

1004.5456 [math.QA]

DOI:

10.1088/1751-8113/43/39/395205

Report number:

NORDITA-2010-28

View in:

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Abstract: (arXiv)

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.

Note:

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

field theory: conformal
Clebsch-Gordan coefficients
quantum group
topological
fusion
group: representation
twist
R-matrix

References(25)

Figures(0)

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