On the group of extensions for the bicrossed product construction for a locally compact group
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...
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/996 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9962018-05-15T06:07:40Z On the group of extensions for the bicrossed product construction for a locally compact group Chapovsky, Yu. A. Kalyuzhnyi, A. A. Podkolzin, G. B. quantum group, bicrossed product construction, group of extensions, group cohomology 17B37; 20G42, 17B55 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. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/996 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/996/525 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-15T06:07:40Z |
| collection |
OJS |
| language |
English |
| topic |
quantum group bicrossed product construction group of extensions group cohomology 17B37; 20G42 17B55 |
| spellingShingle |
quantum group bicrossed product construction group of extensions group cohomology 17B37; 20G42 17B55 Chapovsky, Yu. A. Kalyuzhnyi, A. A. Podkolzin, G. B. On the group of extensions for the bicrossed product construction for a locally compact group |
| topic_facet |
quantum group bicrossed product construction group of extensions group cohomology 17B37; 20G42 17B55 |
| format |
Article |
| author |
Chapovsky, Yu. A. Kalyuzhnyi, A. A. Podkolzin, G. B. |
| author_facet |
Chapovsky, Yu. A. Kalyuzhnyi, A. A. Podkolzin, G. B. |
| author_sort |
Chapovsky, Yu. A. |
| title |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_short |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_full |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_fullStr |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_full_unstemmed |
On the group of extensions for the bicrossed product construction for a locally compact group |
| title_sort |
on the group of extensions for the bicrossed product construction for a locally compact group |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/996 |
| work_keys_str_mv |
AT chapovskyyua onthegroupofextensionsforthebicrossedproductconstructionforalocallycompactgroup AT kalyuzhnyiaa onthegroupofextensionsforthebicrossedproductconstructionforalocallycompactgroup AT podkolzingb onthegroupofextensionsforthebicrossedproductconstructionforalocallycompactgroup |
| first_indexed |
2025-07-17T10:33:10Z |
| last_indexed |
2025-07-17T10:33:10Z |
| _version_ |
1837889897148448768 |