Extension fullness of the categories of Gelfand-Zeitlin and Whittaker modules

DOI10.3842/SIGMA.2015.016zbMath1331.17006arXiv1409.5717OpenAlexW2126834450MaRDI QIDQ2339255

Kevin Coulembier, Volodymyr Mazorchuk

Publication date: 31 March 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5717

zbMATH Keywords

homological dimensionWhittaker modulesYoneda extensionsGelfand-Zeitlin modulesextension fullness

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

Homological epimorphisms, recollements and Hochschild cohomology -- with a conjecture by Snashall-Solberg in view ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Some homological properties of ind-completions and highest weight categories ⋮ Kostant's problem for Whittaker modules ⋮ Whittaker modules for classical Lie superalgebras ⋮ Category O for Takiff sl2

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