On the group of extensions for the bicrossed product construction for a~locally compact group
Algebra and discrete mathematics, no. 3 (2004), pp. 12-20
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For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group of a certain complex of continuous functions on the group. Using this description, we find pairs of continuous cocycles for two subgroups of the Heisenberg group.
Keywords:
quantum group, bicrossed product construction, group of extensions, group cohomology.
@article{ADM_2004_3_a1,
author = {Yu. A. Chapovsky and A. A. Kalyuzhnyi and G. B. Podkolzin},
title = {On the group of extensions for the bicrossed product construction for a~locally compact group},
journal = {Algebra and discrete mathematics},
pages = {12--20},
publisher = {mathdoc},
number = {3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2004_3_a1/}
}
TY - JOUR AU - Yu. A. Chapovsky AU - A. A. Kalyuzhnyi AU - G. B. Podkolzin TI - On the group of extensions for the bicrossed product construction for a~locally compact group JO - Algebra and discrete mathematics PY - 2004 SP - 12 EP - 20 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2004_3_a1/ LA - en ID - ADM_2004_3_a1 ER -
%0 Journal Article %A Yu. A. Chapovsky %A A. A. Kalyuzhnyi %A G. B. Podkolzin %T On the group of extensions for the bicrossed product construction for a~locally compact group %J Algebra and discrete mathematics %D 2004 %P 12-20 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ADM_2004_3_a1/ %G en %F ADM_2004_3_a1
Yu. A. Chapovsky; A. A. Kalyuzhnyi; G. B. Podkolzin. On the group of extensions for the bicrossed product construction for a~locally compact group. Algebra and discrete mathematics, no. 3 (2004), pp. 12-20. http://geodesic.mathdoc.fr/item/ADM_2004_3_a1/