Koszul duality for extension algebras of standard modules.

DOI10.1016/j.jpaa.2007.01.014zbMath1193.16022arXivmath/0411528OpenAlexW1970833819MaRDI QIDQ995609

Volodymyr Mazorchuk, Yuriy A. Drozd

Publication date: 3 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0411528

zbMATH Keywords

global dimensionquasi-hereditary algebrasstandard modulescategory \(\mathcal O\)Koszul dualitycostandard modulesnatural equivalencesbounded derived categories of graded modulesfinite-dimensional Koszul algebrashomologically orthogonal modulesYoneda extension algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37) Derived categories and associative algebras (16E35)

Related Items (9)

KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS ⋮ Koszulity of directed categories in representation stability theory ⋮ Quasi-hereditary algebras and generalized Koszul duality. ⋮ A generalized Koszul theory and its application ⋮ Cubist algebras. ⋮ Some Homological Properties of Tensor and Wreath Products of Quasi-Hereditary Algebras ⋮ A diagram algebra for Soergel modules corresponding to smooth Schubert varieties ⋮ A generalized Koszul theory and its relation to the classical theory. ⋮ Extension Algebras of Standard Modules

Cites Work

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• Skew group algebras in the representation theory of Artin algebras
• Quasi-hereditary algebras
• Quasi-hereditary extension algebras.
• Exact Borel subalgebras of quasi-hereditary algebras. I. (With an appendix by Leonard Scott)
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra (with an appendix by Catharina Stroppel).
• Morita Theory for Derived Categories
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• Character formulas for tilting modules over Kac-Moody algebras
• Deriving DG categories
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Multiplicity free categories of highest weight representations
• Koszul Duality Patterns in Representation Theory

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