On the group of extensions for the bicrossed product construction for a locally compact group

Yu. A. Chapovsky, A. A. Kalyuzhnyi, G. B. Podkolzin

Abstract


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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