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HOMFLY for twist knots and exclusive Racah matrices in representation [333] (1711.09277v3)
Published 25 Nov 2017 in hep-th, math-ph, math.GR, math.GT, and math.MP
Abstract: Next step is reported in the program of Racah matrices extraction from the differential expansion of HOMFLY polynomials for twist knots: from the double-column rectangular representations R=[rr] to a triple-column and triple-hook R=[333]. The main new phenomenon is the deviation of the particular coefficient $f_{[332]}{[21]}$ from the corresponding skew dimension, what opens a way to further generalizations.