量子n空间作为经典n空间的商
Quantum n-space as a quotient of classical n-space
摘要：
令$A$表示代数闭域$k$上的$n$变量的交换多项式环，并且令$R$表示由乘反对称$n\times n$矩阵$(q_{ij})$确定的$A$的标准多参数量化。本文证明了当-1不能由$q_{ij}$乘法生成时，$R$的本原谱是$k^n$的拓扑商.在同样的假设下，我们进一步证明了$R$的素谱是$A$的素谱的拓扑商。
英文摘要：
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 $A$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
