Strong exact Borel subalgebras of quasi-hereditary algebras and abstract Kazhdan-Lusztig theory

DOI10.1006/aima.1999.1837zbMath0949.16009OpenAlexW2036130933MaRDI QIDQ1960920

Steffen Koenig

Publication date: 17 September 2000

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

Full work available at URL: https://doi.org/10.1006/aima.1999.1837

zbMATH Keywords

basic algebrasBorel subalgebrasquasi-hereditary algebrasKazhdan-Lusztig theorymaximal subalgebrassemisimple subalgebras

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) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (4)

On Good Filtration Dimensions for Standardly Stratified Algebras ⋮ On the global dimension of quasi–hereditary algebras with triangular decomposition ⋮ Characteristic modules and tensor products over quasi-hereditary algebras. ⋮ Quasi-hereditary algebras, exact Borel subalgebras, \(A_\infty\)-categories and boxes.

Cites Work

• On certain subalgebras of the Schur algebra
• Longest weight vectors and excellent filtrations
• Algebraic stratification in representation categories
• Quasi-hereditary algebras
• Kazhdan-Lusztig conjecture and holonomic systems
• Homological characterization of lean algebras
• Abstract Kazhdan-Lusztig theories
• Cartan decompositions and BGG-resolutions
• Exact Borel subalgebras of quasi-hereditary algebras. I. (With an appendix by Leonard Scott)
• Borel schur algebras
• Exact borel subalgebras of quasi-hereditary algebras. II
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