Which Canonical Algebras are Derived Equivalent to Incidence Algebras of Posets?

DOI10.1080/00927870802185989zbMath1196.16007arXiv0708.1412OpenAlexW2050061639MaRDI QIDQ5301520

Sefi Ladkani

Publication date: 20 January 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1412

zbMATH Keywords

derived equivalencescanonical algebraspiecewise hereditary algebrasincidence algebras of posets

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Algebraic aspects of posets (06A11)

Related Items (8)

Finite gentle repetitions of gentle algebras and their Avella-Alaminos–Geiss invariants ⋮ On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras ⋮ Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras ⋮ Special multiserial algebras are quotients of symmetric special multiserial algebras ⋮ Injective presentations of induced modules over cluster-tilted algebras ⋮ On the wildness of Cambrian lattices ⋮ Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃ ⋮ Piecewise hereditary incidence algebras

Cites Work

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• Tame algebras and integral quadratic forms
• Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
• Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
• On derived equivalences of categories of sheaves over finite posets
• On the dimension of objects and categories. II: Finite ordered sets
• A characterization of hereditary categories with tilting object

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