Parabolic decomposition for properly stratified algebras

DOI10.1016/S0022-4049(01)00111-6zbMath1022.17004MaRDI QIDQ1612110

Volodymyr Mazorchuk, Michael Klucznik

Publication date: 22 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

properly stratified algebrasquasihereditary algebrasexact Borel subalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of orders, lattices, algebras over commutative rings (16G30) Cohen-Macaulay modules in associative algebras (16G50)

Related Items

On the Relation Between Finitistic and Good Filtration Dimensions ⋮ Algebras stratified for all linear orders. ⋮ Borelic pairs for stratified algebras ⋮ The representation theory of Brauer categories. I: triangular categories ⋮ Homological systems and bocses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Categories of induced modules and standardly stratified algebras
• Quasi-hereditary algebras
• Models of representations of compact Lie groups
• Well-filtered algebras
• Highest weight categories of Lie algebra modules
• Cartan decompositions and BGG-resolutions
• A combinatorial description of blocks in \({\mathcal O}({\mathcal P},\Lambda)\) associated with \(sl(2)\)-induction
• \(S\)-subcategories in \(O\)
• Exact Borel subalgebras of quasi-hereditary algebras. I. (With an appendix by Leonard Scott)
• Structure of \(\alpha\)-stratified modules for finite-dimensional Lie algebras. I
• Standardly stratified algebras and tilting
• Classification of irreducible weight modules
• Properly stratified algebras
• Exact borel subalgebras of quasi-hereditary algebras. II
• Stratifying endomorphism algebras