93-323 Philippe Bonneau

Topological Quantum Double. (44K, plain TeX) Dec 4, 93

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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.

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