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Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity
Authors:S S Akbarov
Institution:(1) Department of Mathematics, L.U.C., Universiteitslaan, B-3590 Diepenbeek, Belgium;(2) Department of Mathematics, K.U.Leuven, Celestijnenlaan 200B, B-3001 Heverlee, Belgium
Abstract:We suggest a generalization of Pontryagin duality from the category of commutative, complex Lie groups to the category of (not necessarily commutative) Stein groups with algebraic connected component of identity. In contrast to the other similar generalizations, in our approach the enveloping category consists of Hopf algebras (in a proper symmetrical monoidal category).
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