We discuss the existence of Galois relations obeyed by certain link in
variants. Some of these relations have recently been identified and ex
ploited within the context of conformal field theory and Lie/Kac-Moody
representation theory. These relations should aid in computing knot i
nvariants. They probably have an interpretation in terms of quasitrian
gular (quasi) Hopf algebras. They could also have a topological interp
retation, and may serve as a concrete model for related ideas of Groth
endieck, Drinfeld, Degiovanni, Ihara, and others.