Quantized Heisenberg Space

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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.
20 pages LaTeX document

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Quantum Algebra, Rings and Algebras, Representation Theory, 81R50, 16R20, 58F05

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http://salesiana.dossiersoluciones.com/handle/123456789/78176

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903028
 http://arxiv.org/abs/math/9903028

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arXiv