English

Quantum n-space as a quotient of classical n-space

Rings and Algebras 2007-05-23 v1 Quantum Algebra

Abstract

Let AA denote the commutative polynomial ring in nn variables, over an algebraically closed field kk, and let RR denote the standard multiparameter quantization of AA determined by a multiplicatively antisymmetric n×nn\times n matrix (qij)(q_{ij}). In this paper we prove, when -1 cannot be multiplicatively generated by the qijq_{ij}, that the primitive spectrum of RR is a topological quotient of knk^n. Under the same hypothesis, we further prove that the prime spectrum of RR is a topological quotient of the prime spectrum of AA.

Keywords

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}
}

Comments

24 pages

R2 v1 2026-07-22T18:02:57.638Z