Construction of cocycles for bicrossproduct of Lie groups |
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| Authors: | Yu. A. Chapovsky A. A. Kalyuzhnyi G. B. Podkolzin |
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| Affiliation: | (1) Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine;(2) National Technical University of Ukraine “KPI”, Ukraine |
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| Abstract: | We obtain an explicit formula for finding cocycles on a matched pair of Lie groups by using cocycles on the corresponding pair of Lie algebras. This formula for cocycles allows one to construct examples of locally compact quantum groups via bicrossproduct of Lie groups. |
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| Keywords: | bicrossproduct construction Hopf algebra quantum group bialgebra |
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