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Localization theory for triangulated categories

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arxiv 0806.1324 v2 pith:HOBXKW5T submitted 2008-06-08 math.CT math.ATmath.KT

Henning Krause This is my paper · ORCID
classification math.CTmath.ATmath.KT
keywords categorieslocalizationtriangulatedtheoryappliedcategorydetailexplain
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These notes provide an introduction to the theory of localization for triangulated categories. Localization is a machinery to formally invert morphisms in a category. We explain this formalism in some detail and we show how it is applied to triangulated categories.

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  1. GL-algebras in positive characteristic III: the divided power algebra

    math.AC 2026-08 conditional novelty 7.0 of 10

    The divided power algebra Div(k^∞) over a field of characteristic p is GL-coherent, and its bounded derived category of finitely presented modules has a semi-orthogonal decomposition into pieces generated by D^(r) ⊗ L_λ.

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