Quantized Heisenberg Space
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Representation Theory
Abstract
We investigate the algebra introduced by Faddeev, Reshetikhin and Takhadjian. In case 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 generic, the primitive ideals are described. A related algebra studied by Oh is also treated.
Keywords
Cite
@article{arxiv.math/9903028,
title = {Quantized Heisenberg Space},
author = {Hans Plesner Jakobsen and Hechun Zhang},
journal= {arXiv preprint arXiv:math/9903028},
year = {2007}
}
Comments
20 pages LaTeX document