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arxiv: math/0311241 · v2 · submitted 2003-11-14 · 🧮 math.QA · hep-th· math-ph· math.MP· math.RT

Some deformations of U[sl(2)] and their representations

classification 🧮 math.QA hep-thmath-phmath.MPmath.RT
keywords deformationrepresentationsdeformationssometwo-parametricadmitsanaloguesclass
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Some one- and two-parametric deformations of U[sl(2)] and their representations are considered. Interestingly, a newly introduced two-parametric deformation admits a class of infinite - dimensional representations which have no classical (non-deformed) and one-parametric deformation analogues, even at generic deformation parameters.

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