an:07102839
Zbl 1420.57027
Morozov, A.
Extension of KNTZ trick to non-rectangular representations
EN
Phys. Lett., B 793, 464-468 (2019).
00438130
2019
j
57M25 57M27
Summary: We claim that the recently discovered universal-matrix precursor for the \(F\) functions, which define the differential expansion of colored polynomials for twist and double braid knots, can be extended from rectangular to non-rectangular representations. This case is far more interesting, because it involves multiplicities and associated mysterious gauge invariance of arborescent calculus. In this paper, we make the very first step -- reformulate in this form the previously known formulas for the simplest non-rectangular representations \([r, 1]\) and demonstrate their drastic simplification after this reformulation.