Extensions of locally compact quantum groups and the bicrossed product construction

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dc.creatorVaes, Stefaan
dc.creatorVainerman, Leonid
dc.date2001-01-16
dc.date2001-03-07
dc.date.accessioned2026-07-07T04:39:41Z
dc.date.available2026-07-07T04:39:41Z
dc.descriptionIn the framework of locally compact quantum groups, we study cocycle actions. We develop the cocycle bicrossed product construction, starting from a matched pair of locally compact quantum groups. We define exact sequences and establish a one-to-one correspondence between cocycle bicrossed products and cleft extensions. In this way, we obtain new examples of locally compact quantum groups.
dc.description66 pages, LaTeX. Some references added. Discussion added how examples are deformations of usual groups
dc.identifierhttps://arxiv.org/abs/math/0101133
dc.identifierhttp://arxiv.org/abs/math/0101133
dc.identifierAdvances in Mathematics 175 (1) (2003), 1--101.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60766
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.titleExtensions of locally compact quantum groups and the bicrossed product construction
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