AI 中文总结
本文作为综述介绍2-表示理论，阐述其对经典表示论重要对象的范畴化研究，并系统梳理成果以呈现特征0下有限Weyl群对应Soergel双模的单2-表示分类。
AI 中文摘要
在这篇综述文章中，我们对相对年轻的2-表示理论进行介绍，该理论研究经典表示论中重要对象的范畴化。我们还系统阐述了相关主要结果，这些结果导向特征0下有限Weyl群对应的Soergel双模的单2-表示分类，该分类成果来自[M. Mackaay、V. Mazorchuk、V. Miemietz、D. Tubbenhauer与X. Zhang的《有限Coxeter型Soergel双模的单传递2-表示》，发表于《伦敦数学会会刊》第126卷（2023年）]。
英文摘要
In this survey article, we give an introduction to the relatively young subject of $2$-representation theory, which studies categorifications of important players in classical representation theory. In particular, we provide a streamlined exposition of the main results leading to the classification of simple $2$-representations for Soergel bimodules associated to finite Weyl groups in characteristic $0$, obtained in [M. Mackaay, V. Mazorchuk, V. Miemietz, D. Tubbenhauer and X. Zhang, Simple transitive $2$-representations of Soergel bimodules for finite Coxeter types. Proc. London Math. Soc. 126 (2023)].
Commentssurvey article for Proceedings from ICRA 2024
