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 descrip...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156409 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156409 |
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Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. 2019-06-18T13:24:46Z 2019-06-18T13:24:46Z 2004 On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 17B37; 20G42, 17B55. https://nasplib.isofts.kiev.ua/handle/123456789/156409 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. This work has been supported in part by the Ukrainian State Foundation for Fundamental Studied, the first author through Grant N 01.07/027, the second and the third authors through Grant N 01.07/071. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the group of extensions for the bicrossed product construction for a locally compact group Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the group of extensions for the bicrossed product construction for a locally compact group |
| spellingShingle |
On the group of extensions for the bicrossed product construction for a locally compact group Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. |
| 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 |
| author |
Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. |
| author_facet |
Chapovsky, Yu.A. Kalyuzhnyi, A.A. Podkolzin, G.B. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156409 |
| citation_txt |
On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ. |
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| first_indexed |
2025-12-07T19:11:14Z |
| last_indexed |
2025-12-07T19:11:14Z |
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1850877856865845248 |