Quantum differential operators on the quantum plane |
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| Authors: | Uma N Iyer Timothy C McCune |
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| Institution: | Harish-Chandra (Formerly Mehta) Research Institute, Chhatnag Road, Jhusi, Allahabad, U.P. 211 019, India |
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| Abstract: | The universal enveloping algebra
of a Lie algebra
acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or quantum group) is a deformation of a universal enveloping algebra and acts not through the differential operators of its representation ring but through the quantised differential operators of its representation ring. We present this situation for the quantum group of sl2. |
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