This article is cited in 1 paper

RESEARCH ARTICLE

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

Yu. A. Chapovsky^a, A. A. Kalyuzhnyi^a, G. B. Podkolzin<sup>b

a</sup> Institute of Mathematics, Ukrainian National Academy of Sciences, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
^b Kyiv Technical University, Kyiv 01033, Ukraine

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.

MSC: 17B37, 20G42, 17B55

Language: English

Bibliographic databases:

• 
•