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

• Date: 2018
• Main Authors: Chapovsky, Yu. A., Kalyuzhnyi, A. A., Podkolzin, G. B.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: quantum group; bicrossed product construction; group of extensions; group cohomology; 17B37; 20G42; 17B55
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/996
• Journal Title: Algebra and Discrete Mathematics

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...