Quantum differential operators on the quantum plane

2000/10/04 by Uma N. Iyer, Iyer, Uma N., Timothy C. McCune +1 · 1 citation
Mathematics · #16W35 #17B37 #20G42 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W35 #msc:17B37 #msc:20G42

paper · pdf · doi:10.48550/arxiv.math/0010042

18 pages, references added, address changed

arxiv created 2002/01/12 · arxiv updated 2009/11/30

Abstract

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 sl₂.

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