19 citations · 22 across the 5 of their papers we have counts for
6 papers
Non-abelian Extensions of Lie 2-algebras
Shaohan Chen, Yunhe Sheng, Zhujun Zheng
In this paper, we introduce the notion of derivations of Lie 2-algebras and construct the associated derivation Lie 3-algebra. We prove that isomorphism classes of non-abelian exte…
Higher Dimensional Homology Algebra V:Injective Resolutions and Derived 2-Functors in ($\cR$-2-Mod)
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will construct the injective resolution of any $\cR$-2-module, define the right derived 2-functor, and give some related properties of the derived 2-functor in ($…
Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will define the derived 2-functor by projective resolution of any symmetric 2-group, and give some related properties of the derived 2-functor.
Higher Dimensional Homology Algebra IV:Projective Resolutions and Derived 2-Functors in ($\cR$-2-Mod)
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will construct the projective resolution of any $\cR$-2-module, define the derived 2-functor and give some related properties of the derived 2-functor.
Higher Dimensional Homology Algebra II:Projectivity
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will prove that the 2-category (2-SGp) of symmetric 2-groups and 2-category ($\cR$-2-Mod) of $\cR$-2-modules(\cite{5}) have enough projective objects, respectivel…
2-Modules and the Representation of 2-Rings
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we develop 2-dimensional algebraic theory which closely follows the classical theory of modules. The main results are giving definitions of 2-module and the represen…