Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity

Details Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity

2008-06-19

arxiv.org/abs/0806.3205v4

Fundamentalnaya i prikladnaya matematika 2008, 14(1): 3-178; Journal of Mathematical Sciences, 2009, 162(4): 459-586

Mathematics

Functional Analysis

This is the English version. See the Russian version in [v3]

Scientific paper

We suggest a generalization of Pontryagin duality from the category of
commutative Stein 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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