量子群上正则函数代数的Gelfand-Kirillov维数
Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups
摘要：
设$G_q$是$A$、$C$或$D$型单连通单紧李群$G$的$q$ -变形，$\mathcal{O}_q(G)$是$G_q$上的正则函数的代数.本文证明了$\mathcal{O}_q(G)$的Gelfand-Kirillov维数等于实流形$G$的维数.
英文摘要：
Let $G_q$ be the $q$-deformation of a simply connected simple compact Lie group $G$ of type $A$, $C$ or $D$ and $\mathcal{O}_q(G)$ be the algebra of regular functions on $G_q$. In this article, we prove that the Gelfand-Kirillov dimension of $\mathcal{O}_q(G)$ is equal to the dimension of real manifold $G$.
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。
