有限双范畴的有限双表示
Finitary birepresentations of finitary bicategories
AI总结：
本文将有限2-范畴的有限2-表示理论推广到有限双范畴的有限双表示理论，通过将2-表示的分类结果提升为双表示2-范畴之间的双等价，并证明了双中心化子定理的类似物。
摘要：
在本文中，我们讨论了将有限2-范畴的有限2-表示理论推广到有限双范畴的有限双表示理论。在之前关于该主题的论文中，给定2-范畴的简单传递2-表示的分类被简化为某些子商上的分类。这些约化结果都被表述为2-表示的等价类之间的双射。在本文中，我们将其推广为某些双表示2-范畴之间的双等价。此外，我们在有限双表示理论中证明了双中心化子定理的类似物。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
