论文标题
包裹张量类别的倍数和尺寸
Multiplicities and dimensions in enveloping tensor categories
论文作者
论文摘要
在上一篇论文中,ARXIV:MATH/0610552半密度张量类别是根据某些常规MAL'CEV类别构建的。在本文中,我们计算张量产品的多重性和简单对象的分类维度。这也产生了Grothendieck环。主要工具是基本对象的次级分解。
In the previous paper arxiv:math/0610552 semisimple tensor categories were constructed out of certain regular Mal'cev categories. In this paper, we calculate the tensor product multiplicities and the categorical dimensions of the simple objects. This yields also the Grothendieck ring. The main tool is the subquotient decomposition of the basic objects.