2003/09/30 by D. Altschuler, A. Coste, J-M. Maillard
Physics and Astronomy · #hep-th
published as Annales Fond.Broglie 29 (2004) 681-694 · 15 pages, no figure
arxiv created 2003/10/02 · arxiv updated 2009/12/01
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 of such algebras based on 3-cocycles with values in R / Z which mimic for finite groups Chern-Simons terms of gauge theories, open wide perspectives in the so called "classification program". The modularisation theorem proved for quasi-Hopf algebras by two authors some years ago makes the computation of topological invariants possible. An updated, although partial, bibliography of recent developments is provided.