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math.QA2003★ 7 cited
Higher-Dimensional Algebra VI: Lie 2-Algebras
John C. Baez, Alissa S. Crans
The theory of Lie algebras can be categorified starting from a new notion of "2-vector space", which we define as an internal category in Vect. There is a 2-category 2Vect having t…
math.QA2003★ 230 cited
Higher-Dimensional Algebra V: 2-Groups
John C. Baez, Aaron D. Lauda
A 2-group is a "categorified" version of a group, in which the underlying set G has been replaced by a category and the multiplication map has been replaced by a functor. Various v…