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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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| 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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Algebra and Discrete Mathematics| _version_ | 1856543281009131520 |
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| 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. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T06:07:40Z |
| 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. |
| first_indexed | 2026-02-08T08:00:44Z |
| format | Article |
| id | admjournalluguniveduua-article-996 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:00:44Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | 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 |
| topic | quantum group bicrossed product construction group of extensions group cohomology 17B37; 20G42 17B55 |
| topic_facet | quantum group bicrossed product construction group of extensions group cohomology 17B37; 20G42 17B55 |
| 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 |