论文标题
关于双模型的简单及时2个陈述在双数数字上
On Simple Transitive 2-representations of Bimodules over the Dual Numbers
论文作者
论文摘要
我们研究了（非限制性）2类在双数数字上的简单及时2个代理的分类问题。我们表明，具有限制性顶点的简单及时2个占代表性必须为等级1或2，而等级2的恰好是单元2个陈述。对于等级1的2个代表，我们表明无法使用（CO）代数1年度的方法来构建它们。我们还提出了（共同）duflo 1形态的替代定义，以用于两类，并在双重数字上描述它们。
We study the problem of classification of simple transitive 2-representations for the (non-finitary) 2-category of bimodules over the dual numbers. We show that simple transitive 2-representations with finitary apex are necessarily of rank 1 or 2, and those of rank 2 are exactly the cell 2-representations. For 2-representations of rank 1, we show that they cannot be constructed using the approach of (co)algebra 1-morphisms. We also propose an alternative definition of (co-)Duflo 1-morphisms for finitary 2-categories and describe them in the case of bimodules over the dual numbers.
