论文标题
限制性生物学的限制
Finitary birepresentations of finitary bicategories
论文作者
论文摘要
在本文中，我们讨论了$ 2 $ 2 $代表理论的概括，$ 2 $ - 分类为finarity Birepentation of Finary Bicategories。在以前的有关该主题的论文中，对于某些征质，将简单及时的$ 2 $代表分类减少到了。这些减少结果均被配制为$ 2 $代表的等价类别之间的徒。在本文中，我们将它们推广到某些$ 2 $ - birepresentations的双重阶段。此外，我们证明了在限制性birepersentation理论中的双重核心定理的类似物。
In this paper, we discuss the generalization of finitary $2$-representation theory of finitary $2$-categories to finitary birepresentation theory of finitary bicategories. In previous papers on the subject, the classification of simple transitive $2$-representations of a given $2$-category was reduced to that for certain subquotients. These reduction results were all formulated as bijections between equivalence classes of $2$-representations. In this paper, we generalize them to biequivalences between certain $2$-categories of birepresentations. Furthermore, we prove an analog of the double centralizer theorem in finitary birepresentation theory.
