, Volume 162, Issue 4, pp 459-586
Date: 23 Sep 2009

Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity

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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).

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 1, pp. 3–178, 2008.