Quantum n-space as a quotient of classical n-space
| dc.creator | Goodearl, K. R. | |
| dc.creator | Letzter, E. S. | |
| dc.date | 1999-05-10 | |
| dc.date.accessioned | 2026-07-07T05:29:00Z | |
| dc.date.available | 2026-07-07T05:29:00Z | |
| dc.description | Let $A$ denote the commutative polynomial ring in $n$ variables, over an algebraically closed field $k$, and let $R$ denote the standard multiparameter quantization of $A$ determined by a multiplicatively antisymmetric $n\times n$ matrix $(q_{ij})$. In this paper we prove, when -1 cannot be multiplicatively generated by the $q_{ij}$, that the primitive spectrum of $R$ is a topological quotient of $k^n$. Under the same hypothesis, we further prove that the prime spectrum of $R$ is a topological quotient of the prime spectrum of $A$. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/9905055 | |
| dc.identifier | http://arxiv.org/abs/math/9905055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78476 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16D30;16D60;16P40;16S36;17B37;81R50 | |
| dc.title | Quantum n-space as a quotient of classical n-space | |
| dc.type | text |