论文标题
亚组类别的某些变形的半透明性和Biset类别
Semisimplicity of some deformations of the subgroup category and the biset category
论文作者
论文摘要
我们介绍了Biset类别的一些变形,并证明了半透明性属性。我们还考虑了另一组类别,称为亚组类别,其形态是直接产品的亚组,该组成是恒星产品。对于亚组类别的某些变形,我们证明了半透明性属性。该方法是将BISET类别的变形嵌入到子组组类别的更容易描述的变形中。
We introduce some deformations of the biset category and prove a semisimplicity property. We also consider another group category, called the subgroup category, whose morphisms are subgroups of direct products, the composition being star product. For some deformations of the subgroup category, too, we prove a semisimplicity property. The method is to embed the deformations of the biset category into the more easily described deformations of the subgroup group category.