FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 1, PAGES 3-178

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

S. S. Akbarov

Abstract

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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).

Location: http://mech.math.msu.su/~fpm/eng/k08/k081/k08101h.htm

Last modified: January 23, 2009