子因子理论中Nimrep图的谱测度与生成级数II：SU（3）
Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3)
摘要：
我们完成了子因子理论中SU（3）nimrep图的谱测度的计算，即与SU（3）模不变量相关的SU（3）ADE图和SU（3）有限子群的McKay图.对于SU（2）图，谱测度可提取到圆/圆的非常特殊的子集上，而对于SU（3）图，谱测度可提取到圆盘/环面的非常特殊的子集上. nimreps的理论使我们能够精确地计算这些措施。我们以前已经确定了一些nimrep图的谱测度，这些图出现在子因子理论中，特别是那些与所有SU（2）模不变量、SU（2）的所有子群、环面、SU（3）和一些SU（3）图有关的图。
英文摘要：
We complete the computation of spectral measures for SU(3) nimrep graphs arising in subfactor theory, namely the SU(3) ADE graphs associated with SU(3) modular invariants and the McKay graphs of finite subgroups of SU(3). For the SU(2) graphs the spectral measures distill onto very special subsets of the semicircle/circle, whilst for the SU(3) graphs the spectral measures distill onto very special subsets of the discoid/torus. The theory of nimreps allows us to compute these measures precisely. We have previously determined spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with all SU(2) modular invariants, all subgroups of SU(2), the torus, SU(3), and some SU(3) graphs.
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