Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)

2010/07/09 by Fang Huang, Huang, Fang, Chen, Shao-Han +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1007.1555

openalex publication_date 2010/07/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Projective and injective objects in symmetric categorical groups
• Higher Dimensional Homology Algebra II:Projectivity
• The 2-group of linear auto-equivalences of an abelian category and its Lie 2-algebra
• Integration of semidirect product Lie 2-algebras
• Third Mac Lane cohomology via categorical rings

Related

• Higher Dimensional Homology Algebra IV:Projective Resolutions and Derived 2-Functors in (\cR-2-Mod)
• Higher Dimensional Homology Algebra V:Injective Resolutions and Derived 2-Functors in (\cR-2-Mod)
• On abelian 2-categories and derived 2-functors
• Higher Dimensional Homology Algebra II:Projectivity
• On derived categories and derived functors