Quantum differential operators on the quantum plane
Quantum Algebra
2007-05-23 v4 Rings and Algebras
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 sl_2.
Cite
@article{arxiv.math/0010042,
title = {Quantum differential operators on the quantum plane},
author = {Uma N. Iyer and Timothy C. McCune},
journal= {arXiv preprint arXiv:math/0010042},
year = {2007}
}
Comments
18 pages, references added, address changed