Highest weight categories of Lie algebra modules

DOI10.1016/S0022-4049(97)00214-4zbMath0926.17005OpenAlexW2076657300WikidataQ115340071 ScholiaQ115340071MaRDI QIDQ1295764

Vyacheslav M. Futorny, Volodymyr Mazorchuk

Publication date: 29 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00214-4

zbMATH Keywords

quasi-hereditary algebrashighest weight categoriesGelfand-Zetlin modulesHarish-Chandra modules\({\mathcal L}\)-modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (7)

Complete reducibility of torsion free \(C_n\)-modules of finite degree ⋮ Nonzero infinitesimal blocks of category \({\mathcal{O}}_{S}\) ⋮ Gale duality and Koszul duality ⋮ Standardly stratified algebras and tilting ⋮ A generalization of the category \(\mathcal O\) of Bernstein-Gelfand-Gelfand ⋮ A combinatorial description of blocks in \({\mathcal O}({\mathcal P},\Lambda)\) associated with \(sl(2)\)-induction ⋮ Parabolic decomposition for properly stratified algebras

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• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• A new category of lie algebra modules satisfying the bgg reciprocity principle

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