Quantum n-space as a quotient of classical n-space
Rings and Algebras
2007-05-23 v1 Quantum Algebra
Abstract
Let denote the commutative polynomial ring in variables, over an algebraically closed field , and let denote the standard multiparameter quantization of determined by a multiplicatively antisymmetric matrix . In this paper we prove, when -1 cannot be multiplicatively generated by the , that the primitive spectrum of is a topological quotient of . Under the same hypothesis, we further prove that the prime spectrum of is a topological quotient of the prime spectrum of .
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Cite
@article{arxiv.math/9905055,
title = {Quantum n-space as a quotient of classical n-space},
author = {K. R. Goodearl and E. S. Letzter},
journal= {arXiv preprint arXiv:math/9905055},
year = {2007}
}
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24 pages