Non-commutative Euclidean structures in compact spaces

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dc.creatorDoerfel, B. -D.
dc.date1999-07-16
dc.date2000-01-18
dc.date.accessioned2026-07-07T10:54:05Z
dc.date.available2026-07-07T10:54:05Z
dc.descriptionBased on results for real deformation parameter q we introduce a compact non- commutative structure covariant under the quantum group SOq(3) for q being a root of unity. To match the algebra of the q-deformed operators with necesarry conjugation properties it is helpful to define a module over the algebra genera- ted by the powers of q. In a representation where X is diagonal we show how P can be calculated. To manifest some typical properties an example of a one-di- mensional q-deformed Heisenberg algebra is also considered and compared with non-compact case.
dc.descriptionChanged content
dc.identifierhttps://arxiv.org/abs/hep-th/9907136
dc.identifierhttp://arxiv.org/abs/hep-th/9907136
dc.identifierJ.Phys.A34:2583-2594,2001
dc.identifierdoi:10.1088/0305-4470/34/12/306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185699
dc.subjectHigh Energy Physics - Theory
dc.titleNon-commutative Euclidean structures in compact spaces
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