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

Abstract

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).

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

References in corpus (3)

• The Haar measure on some locally compact quantum groups
• Braided Hopf Algebras
• Quantum ax + b Group as Quantum Automorphism Group of k[x]

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• On density of polynomials in the algebra of holomorphic functions of exponential type on a linear Lie group