Quantized Heisenberg Space
Abstract
We investigate the algebra Fq(N) introduced by Faddeev, Reshetikhin and Takhadjian. In case q is a primitive root of unity the degree, the center, and the set of irreducible representations are found. The Poisson structure is determined and the De Concini-Kac-Procesi Conjecture is proved for this case. In the case of q generic, the primitive ideals are described. A related algebra studied by Oh is also treated.
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