Galois relations on knot invariants

DOI10.1007/BF00398319zbMath0857.57003arXivq-alg/9509018OpenAlexW3100822690MaRDI QIDQ1924268

Mark A. Walton, Terry Gannon

Publication date: 11 March 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9509018

zbMATH Keywords

conformal field theorylink invariantsquasitriangular Hopf algebrasGalois relationsKac-Moody representation theoryLie representation theory

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Galois theory (11R32) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items

Galois conjugation and multiboundary entanglement entropy

Cites Work

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• Fusion rules and modular transformations in 2D conformal field theory
• Quantum field theory and the Jones polynomial
• Markov traces and II\(_ 1\) factors in conformal field theory
• Quasi-quantum groups, knots, three-manifolds, and topological field theory
• The classification of affine \(SU(3)\) modular invariant partition functions
• Galois modular invariants of WZW models
• On the Vassiliev knot invariants
• Ribbon graphs and their invariants derived from quantum groups
• On the Schwarz problem for the \(\widehat {\text{su}}_ 2\) Knizhnik-Zamolodchikov equation
• Knot polynomials and Vassiliev's invariants
• A polynomial invariant for knots via von Neumann algebras
• New points of view in knot theory
• Lie group weight multiplicities from conformal field theory