论文标题
球形类别家族的Grothendieck环
The Grothendieck Ring of a Family of Spherical Categories
论文作者
论文摘要
第一作者在[liu15]中构建了一个$ q $参数化的球形类别$ \ sc $ $ \ sc $ $ \ mathbb {c}（q）$，其简单对象都被所有年轻图标记。在本文中，我们使用具有无限变量的对称函数来计算$ \ sc $的融合规则的封闭形式表达式。
The first author constructed a $q$-parameterized spherical category $\sC$ over $\mathbb{C}(q)$ in [Liu15], whose simple objects are labelled by all Young diagrams. In this paper, we compute closed-form expressions for the fusion rule of $\sC$, using Littlewood-Richardson coefficients, as well as the characters (including a generating function), using symmetric functions with infinite variables.
