From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses

DOI10.1112/blms.12331zbMath1477.16019arXiv1907.12862OpenAlexW3100501902MaRDI QIDQ5112526

Tomasz Brzeziński, Julian Külshammer, Steffen Koenig

Publication date: 29 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12862

zbMATH Keywords

Morita equivalencecoringquasi-hereditary algebraexact Borel subalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Representations of associative Artinian rings (16G10) Differential graded algebras and applications (associative algebraic aspects) (16E45) Coalgebras and comodules; corings (16T15)

Related Items (5)

The Ext-algebra of standard modules over dual extension algebras ⋮ All exact Borel subalgebras and all directed bocses are normal ⋮ Exact Borel subalgebras of path algebras of quivers of Dynkin type \(\mathbb{A}\) ⋮ All quasihereditary algebras with a regular exact Borel subalgebra ⋮ Homological systems and bocses

Cites Work

• Ringel duality as an instance of Koszul duality
• Exact Borel subalgebras of quasi-hereditary algebras. I. (With an appendix by Leonard Scott)
• Quasi-hereditary algebras, exact Borel subalgebras, \(A_\infty\)-categories and boxes.
• On quasi-hereditary algebras
• The Dual Ring to a Coring with a Grouplike
• The Predual Theorem to the Jacobson-Bourbaki Theorem
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