Derived decompositions of abelian categories I

23 Nov 2018 Chen Hongxing Xi Changchang

Derived decompositions of abelian categories are introduced in internal terms of abelian subcategories to construct semi-orthogonal decompositions (or Bousfield localizations, or hereditary torsion pairs) in various derived categories of abelian categories. We give a sufficient condition for arbitrary abelian categories to have such derived decompositions and show that it is also necessary for abelian categories with enough projectives and injectives... (read more)

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Categories


  • REPRESENTATION THEORY
  • CATEGORY THEORY
  • RINGS AND ALGEBRAS