论文标题
图表类别的通用平面
A universal plane of diagrammatic categories
论文作者
论文摘要
我们介绍了由$ \ bq $的投影平面参数参数的带量类别的量子绞线关系。 色带类别在13点上接受了一个不变张量的色带函子 用于定量的包围代数。这13点位于三个投影线上。一行给出第一行 Freudenthal Magic Square的一排和另一排给出了第四行,这是异常系列。
We introduce quantum skein relations for a family of ribbon categories parametrised by the projective plane over $\bQ$. There are thirteen points for which the ribbon category admits a ribbon functor to a category of invariant tensors for a quantised enveloping algebra. These thirteen points lie on three projective lines. One line gives the first row of the Freudenthal magic square and another gives the fourth row which is the exceptional series.