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.
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     title = {On the group of extensions for the bicrossed product construction for a~locally compact group},
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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/