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Derived Categories and Derived Functors

2018
This is an introduction to the language of derived categories and understanding the triangulated structure on the derived category. We also introduce the analogue of functors on a derived category, i.e. derived functors.
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Derived categories and functors

2011
For each abelian category A, there is a category D(A), called the derived category of A, whose objects are complexes of objects of A, and whose morphisms are formal fractions of homotopy classes of complex morphisms having as denominators homotopy classes inducing isomorphisms in cohomology. If F : A →B is an additive functor between abelian categories,
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Derived Functors

Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm   +2 more
  +4 more sources

Derived Functors

2009
Joseph Lipman, Mitsuyasu Hashimoto
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Derived Functors

2020
openaire   +1 more source

Derived Functors

1971
P. J. Hilton, U. Stammbach
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A Modular Functor Which is Universal¶for Quantum Computation

Communications in Mathematical Physics, 2002
Zhenghan Wang
exaly  

Functor-oriented topology optimization of elasto-plastic structures

Advances in Engineering Software, 2019
Piotr Tauzowski, Bartlomiej Blachowski
exaly  

Derived Functors

2003
openaire   +1 more source

The center functor is fully faithful

Advances in Mathematics, 2018
Liang Kong
exaly