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...
Збережено в:
| Дата: | 2004 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156409 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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. |
|---|