Projective and Whittaker functors on category \(\mathcal{O}\)

DOI10.1016/J.JALGEBRA.2021.01.024zbMath1481.17010arXiv2007.05697OpenAlexW3129009069MaRDI QIDQ1998943

Juan Camilo Arias, Erik Backelin

Publication date: 9 March 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05697

zbMATH Keywords

projective functorWhittaker modulescomplex semisimple Lie algebraBGG-category \(\mathcal{O}\)Rouquier complexWhittaker functor

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Kostant's problem for Whittaker modules ⋮ Whittaker modules for classical Lie superalgebras

Cites Work

• The Hodge theory of Soergel bimodules.
• On modules induced from Whittaker modules
• On Whittaker vectors and representation theory
• The composition series of modules induced from Whittaker modules
• Arakawa-Suzuki functors for Whittaker modules
• Standard objects in 2-braid groups
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case
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