94 citations · 214 across the 6 of their papers we have counts for
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Representation Theory of Twisted Group Double
D. Altschuler, A. Coste, J-M. Maillard
This text collects useful results concerning the quasi-Hopf algebra $\D $. We give a review of issues related to its use in conformal theories and physical mathematics. Existence o…
On Universal Vassiliev Invariants
Daniel Altschuler, Laurent Freidel
Using properties of ordered exponentials and the definition of the Drinfeld associator as a monodromy operator for the Knizhnik-Zamolodchikov equations, we prove that the analytic…
Quantum Loop Modules and Quantum Spin Chains
D. Altschuler, B. Davies
We construct level-0 modules of the quantum affine algebra $\Uq$, as the -deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditio…
Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory
Daniel Altschuler, Antoine Coste
We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the…