Quasi-hereditary algebras, exact Borel subalgebras, \(A_\infty\)-categories and boxes.

DOI10.1016/j.aim.2014.05.016zbMath1330.16008arXiv1305.2315OpenAlexW2963271483MaRDI QIDQ2251896

Julian Külshammer, Sergiy Ovsienko, Steffen Koenig

Publication date: 15 July 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2315

zbMATH Keywords

quasi-hereditary algebrascategory \(\mathcal O\)boxesdifferential graded categorieshighest weight categoriesexact Borel subalgebras\(A_\infty\)-categoriesmodules with standard filtrations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (17)

The Ext-algebra of standard modules over dual extension algebras ⋮ Ringel duality as an instance of Koszul duality ⋮ Differential graded bocses and \(A_{\infty}\)-modules ⋮ Quasi-hereditary algebras and the category of modules with standard filtration ⋮ All exact Borel subalgebras and all directed bocses are normal ⋮ Some extension algebras for standard modules over KLR algebras of type \(A\) ⋮ Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023 ⋮ Around evaluations of biset functors ⋮ Algebraically equipped posets ⋮ Exact Borel subalgebras of path algebras of quivers of Dynkin type \(\mathbb{A}\) ⋮ Quasi-hereditary covers of higher zigzag algebras of type \(A\) ⋮ A generalization of the correspondences between quasi-hereditary algebras and directed bocses ⋮ From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses ⋮ Borelic pairs for stratified algebras ⋮ All quasihereditary algebras with a regular exact Borel subalgebra ⋮ Intersections, sums, and the Jordan-Hölder property for exact categories ⋮ Homological systems and bocses

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