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.Comment: 15 pages, no figur