论文标题
将两类2类分类的2个代表理论扩展到本地（分级）finality 2类
Extension Of The 2-Representation Theory Of Finitary 2-Categories To Locally (Graded) Finitary 2-Categories
论文作者
论文摘要
我们将2类别的2类分类理论扩展到具有无限多个对象的某些2类，表示本地有限的2类，并将简单的弱菲亚特2类别的简单及时性2类分类的经典分类结果扩展到该环境。我们还考虑以分级为单位的本地两类和2个陈述，并证明相关的山结构1年度具有均匀的结构。我们使用这些结果来对某些类别的环流2-KAC-MOODY代数的简单及时及时2-施用进行分类。
We extend the 2-representation theory of finitary 2-categories to certain 2-categories with infinitely many objects, denoted locally finitary 2-categories, and extend the classical classification results of simple transitive 2-representations of weakly fiat 2-categories to this environment. We also consider locally finitary 2-categories and 2-representations with a grading, and prove the associated coalgebra 1-morphisms have a homogeneous structure. We use these results to classify simple transitive 2-representations of certain classes of cyclotomic 2-Kac-Moody algebras.
