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Algebra and Discrete Mathematics, 2004, Issue 3, Pages 12–20 (Mi adm345)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

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

Yu. A. Chapovskya, A. A. Kalyuzhnyia, G. B. Podkolzinb

a Institute of Mathematics, Ukrainian National Academy of Sciences, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
b Kyiv Technical University, Kyiv 01033, Ukraine
Full-text PDF (203 kB) Citations (1)
Abstract: 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.
Keywords: quantum group, bicrossed product construction, group of extensions, group cohomology.
Bibliographic databases:
Document Type: Article
MSC: 17B37, 20G42, 17B55
Language: English
Citation: Yu. A. Chapovsky, A. A. Kalyuzhnyi, G. B. Podkolzin, “On the group of extensions for the bicrossed product construction for a locally compact group”, Algebra Discrete Math., 2004, no. 3, 12–20
Citation in format AMSBIB
\Bibitem{ChaKalPod04}
\by Yu.~A.~Chapovsky, A.~A.~Kalyuzhnyi, G.~B.~Podkolzin
\paper On the group of extensions for the bicrossed product construction for a~locally compact group
\jour Algebra Discrete Math.
\yr 2004
\issue 3
\pages 12--20
\mathnet{http://mi.mathnet.ru/adm345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2146101}
\zmath{https://zbmath.org/?q=an:1067.22003}
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  • https://www.mathnet.ru/eng/adm/y2004/i3/p12
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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