Abstract
A ringH q which is aq-analog of the universal enveloping algebra of the Heisenberg Lie algebraU(h) is constructed, and its ring theoretic properties are studied. It is shown thatH q has a factor ringA q which is a simple domain with properties that are compared to the Weyl algebra. A secondq-analogH q ofU(h) is constructed, andH q is shown to be a primitive ring.
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