Quantum co-adjoint orbits of $\MD_4$-groups

dc.creatorHai, Nguyen Viet
dc.date2000-03-09
dc.date.accessioned2026-07-25T22:41:34Z
dc.descriptionUsing $\star$-product on Co-adjoint orbits (K-orbits) of the $\MD_4$- groups we obtain quantum half-planes, quantum hyperbolic cylinders, quantum hyperbolic paraboloids...via Fedosov deformation quantization. From this we have corresponding unitary representations of the $\MD_4$- groups. Particularly, for groups $\G_{4,2,3(ϕ)}; \G_{4,2,4}; \G_{4,3,4(ϕ)}$ and $ \G_{4,4,1} $, which are neither nilpotent nor exponential, we obtain the explicit formulas.
dc.descriptionAMS-LaTeX, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0003058
dc.identifierhttp://arxiv.org/abs/math/0003058
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/91561
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleQuantum co-adjoint orbits of $\MD_4$-groups
dc.typetext

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