In the bocs seat: Quasi-hereditary algebras and representation type

zbMath1380.16008arXiv1601.03899MaRDI QIDQ5283697

Julian Külshammer

Publication date: 24 July 2017

Full work available at URL: https://arxiv.org/abs/1601.03899

zbMATH Keywords

tameSchur algebras\(q\)-Schur algebrasquasi-hereditary algebrasreduction algorithmrepresentation typeKleisli categorybocsEilenberg-Moore categorywildBGG category \({\mathcal O}\)exact Borel subalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Related Items (9)

The Ext-algebra of standard modules over dual extension algebras ⋮ Ringel duality as an instance of Koszul duality ⋮ A bocs theoretic characterization of gendo-symmetric algebras ⋮ All exact Borel subalgebras and all directed bocses are normal ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ Exact Borel subalgebras of path algebras of quivers of Dynkin type \(\mathbb{A}\) ⋮ On representation-finite gendo-symmetric biserial algebras ⋮ All quasihereditary algebras with a regular exact Borel subalgebra ⋮ Reduction of exact structures

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