A filtered category 𝒪_{𝒮} and applications

DOI10.1090/memo/0419zbMath0715.22017OpenAlexW4253271009MaRDI QIDQ3202322

Ronald S. Irving

Publication date: 1990

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0419

zbMATH Keywords

projective coversKazhdan-Lusztig polynomialsgeneralized Verma modulescomplex semisimple Lie algebraradical filtrations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (9)

2-representations of small quotients of Soergel bimodules in infinite types ⋮ Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Applications of the category of linear complexes of tilting modules associated with the category \(\mathcal O\) ⋮ Shuffling functors and spherical twists on \(D^{\mathrm{b}}(\mathcal{O}_0)\) ⋮ Koszul Duality Patterns in Representation Theory ⋮ Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras ⋮ Representation type of the blocks of category \(\mathcal O_S\) in types \(F_{4}\) and \(G_{2}\) ⋮ Jacquet modules for semisimple Lie groups having Verma module filtrations ⋮ Representation type of the blocks of category \(\mathcal O_s\)

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