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Quantum differential operators on the quantum plane

✍ Scribed by Uma N. Iyer; Timothy C. McCune

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
146 KB
Volume
260
Category
Article
ISSN
0021-8693

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✦ Synopsis

The universal enveloping algebra U(G) of a Lie algebra G 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 sl 2 .

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