GALOIS RELATIONS ON KNOT INVARIANTS

Citation
T. Gannon et Ma. Walton, GALOIS RELATIONS ON KNOT INVARIANTS, letters in mathematical physics, 38(2), 1996, pp. 185-194
Citations number
32
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
03779017
Volume
38
Issue
2
Year of publication
1996
Pages
185 - 194
Database
ISI
SICI code
0377-9017(1996)38:2<185:GROKI>2.0.ZU;2-7
Abstract
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.