Quantized Heisenberg Space

Details Quantized Heisenberg Space Quantized Heisenberg Space

1999-03-04

arxiv.org/abs/math/9903028v1

Mathematics

Quantum Algebra

20 pages LaTeX document

Scientific paper

We investigate the algebra $F_q(N)$ 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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