Derived categories of quasi-hereditary algebras and their derived composition series

zbMath1369.18007arXiv1603.06490MaRDI QIDQ5283694

Martin Kalck

Publication date: 24 July 2017

Full work available at URL: https://arxiv.org/abs/1603.06490

zbMATH Keywords

derived equivalencestriangulated categoriesquasi-hereditary algebrasgentle algebrasexceptional sequencesrecollementsderived Jordan-Hölder propertyderived composition series

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20)

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Jordan-Hölder theorems for derived categories of derived discrete algebras ⋮ Spherical subcategories in representation theory ⋮ Singularity categories via the derived quotient ⋮ Recollements of self-injective algebras, and classification of self-injective diagram algebras ⋮ Examples of finite dimensional algebras which do not satisfy the derived Jordan-Hölder property ⋮ A complete derived invariant for gentle algebras via winding numbers and Arf invariants ⋮ The geometric model of gentle one-cycle algebras ⋮ Derived invariants for surface cut algebras of global dimension 2 II: the punctured case ⋮ On derived unique gentle algebras ⋮ Brauer Graph Algebras

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