English

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

Functional Analysis 2016-09-28 v4 Category Theory

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).

Keywords

Cite

@article{arxiv.0806.3205,
  title  = {Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity},
  author = {S. S. Akbarov},
  journal= {arXiv preprint arXiv:0806.3205},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-21T10:52:29.451Z