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arxiv: math/0112171 · v1 · pith:QWWGNCHGnew · submitted 2001-12-17 · 🧮 math.QA

Construction of raising and lowering operators for Uq(sl(2,R))

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keywords caseloweringoperatorsraisingalgebraicanaloguescompactconstruction
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In the case of Uq(sl(2,R)) at root of unity q-deformed analogues are proposed for the generator of the maximal compact subalgebra, J, and for the raising and lowering operators. We prove an algebraic identity which implies that J has similar properties as in the nondeformed case.

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