Galois Relations on Knot Invariants

Details Galois Relations on Knot Invariants Galois Relations on Knot Invariants

1995-09-17

arxiv.org/abs/q-alg/9509018v2

Lett. Math. Phys. 38 (1996) 185

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, plain tex Some minor corrections made to text, one reference added

Scientific paper

10.1007/BF00398319

We discuss the existence of Galois relations obeyed by certain link invariants. Some of these relations have recently been identified and exploited within the context of CFT and Lie/Kac-Moody representation theory. These relations should aid in computing knot invariants. They probably have an interpretation in terms of quasitriangular (quasi-)Hopf algebras. They could also have a topological interpretation, and may serve as a concrete model for related ideas of Degiovanni, Drinfeld, Grothendieck, Ihara, and others.

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