Finite GL-racks decompose canonically into permutation and block GL-racks, implying that Legendrian knots with identical classical invariants have equivalent coloring invariants for any finite GL-rack.
Classification and structure of generalized legendrian racks.arXiv:2504.12671v3, 2025
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GL-racks and coloring invariants of Legendrian knots
Finite GL-racks decompose canonically into permutation and block GL-racks, implying that Legendrian knots with identical classical invariants have equivalent coloring invariants for any finite GL-rack.