2Mon𝒲𝒾𝓀𝒾

2-Group

A 2-group is a verticalization of the notion of group.

Definition

2-representation

A previewrepresentation of a previewgroup 𝐺 is exactly a functor πΊβ†’π•πžπœπ­, where 𝐺 is seen as a category. We naturally define a 2-representation similarly

Definition 2-representation A 2-representation of a 2-group 𝒒︀ is a 2-functor 𝒒︀→2π•πžπœπ­