论文标题
约旦飞机和$ u_q（\ mathfrak {sl}（2））$的Arens-Michael信封$
The Arens-Michael envelopes of the Jordanian Plane and $U_q(\mathfrak{sl}(2))$
论文作者
论文摘要
非共同几何形状中的Arens-Michael函子是代数几何形状中的分析函数的类似物：在非交通空间上的“代数函数”中，它在其上构造了“全态函数”的环。在本文中，我们明确计算了约旦飞机的Arens-Michael信封和$ \ Mathfrak {slfrak {Slfrak}（sl sl}（2）$ $ | q | q | Q | = 1 $的量子包裹的代数$ u_q（\ Mathfrak {sl}（2））$。
The Arens-Michael functor in noncommutative geometry is an analogue of the analytification functor in algebraic geometry: out of the ring of "algebraic functions" on a noncommutative space it constructs the ring of "holomorphic functions" on it. In this paper, we explicitly compute the Arens-Michael envelopes of the Jordanian plane and the quantum enveloping algebra $U_q(\mathfrak{sl}(2))$ of $\mathfrak{sl}(2)$ for $|q|=1$.
