Philippe Bonneau
Topological Quantum Double.
(44K, plain TeX)

ABSTRACT.  Following a preceding paper showing how the introduction of a t.v.s.
topology on quantum groups leads to a remarkable unification and
rigidification of the different definitions, we adapt here, in the same
way, the definition of quantum double. This topological double is
dualizable and reflexive (even for infinite dimensional algebras).
In a simple case we show, considering the double as the "zero class"
of an extension theory, the uniqueness of the double structure
as a quasi-Hopf algebra.