Multiplicity-free quantum 6j-symbols for U_q(sl_N)
arXiv:1302.5143 · doi:10.1007/s11005-013-0651-4
Abstract
We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6j-symbols for U_q(sl_N). The expression is a natural generalization of the quantum 6j-symbols for U_q(sl_2) obtained by Kirillov and Reshetikhin. Our conjectured form enables computation of colored HOMFLY polynomials for various knots and links carrying arbitrary symmetric representations.
8 pages; v2 typos corrected; v3 minor corrections and reference added