Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 1, pp. 3-178
Voir la notice de l'article provenant de la source Math-Net.Ru
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).
@article{FPM_2008_14_1_a0,
author = {S. S. Akbarov},
title = {Holomorphic functions of exponential type and duality for {Stein} groups with algebraic connected component of identity},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {3--178},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_1_a0/}
}
TY - JOUR AU - S. S. Akbarov TI - Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2008 SP - 3 EP - 178 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2008_14_1_a0/ LA - ru ID - FPM_2008_14_1_a0 ER -
%0 Journal Article %A S. S. Akbarov %T Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity %J Fundamentalʹnaâ i prikladnaâ matematika %D 2008 %P 3-178 %V 14 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2008_14_1_a0/ %G ru %F FPM_2008_14_1_a0
S. S. Akbarov. Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 1, pp. 3-178. http://geodesic.mathdoc.fr/item/FPM_2008_14_1_a0/