Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs

DOI10.1017/fms.2024.17arXiv2208.08778OpenAlexW4393715751MaRDI QIDQ6131049

Chih-Whi Chen, Shun-Jen Cheng

Publication date: 4 April 2024

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08778

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55)

Cites Work

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• Primitive ideals, twisting functors and star actions for classical Lie superalgebras
• Blocks and modules for Whittaker pairs
• The primitive spectrum of a basic classical Lie superalgebra
• On modules induced from Whittaker modules
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• On Whittaker vectors and representation theory
• The composition series of modules induced from Whittaker modules
• Quantum symmetric pairs and their zonal spherical functions.
• \(S\)-subcategories in \(O\)
• On the ghost centre of Lie superalgebras.
• Whittaker coinvariants for \(\mathrm{GL}(m|n)\)
• On Arkhipov's and Enright's functors.
• Canonical bases for tensor products and super Kazhdan-Lusztig theory
• Contravariant pairings between standard Whittaker modules and Verma modules
• Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras
• Whittaker modules for classical Lie superalgebras
• The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
• The orders of the finite Chevalley groups
• Strongly typical representations of the basic classical Lie superalgebras
• Enright’s completions and injectively copresented modules
• Tilting Modules for Lie Superalgebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• Primitive Ideals in Finite Extensions of Noetherian Rings
• Canonical bases in tensor products.
• On the Theory of Frobenius Extensions and its Application to Lie Superalgebras
• Character formulas for tilting modules over Kac-Moody algebras
• Properly stratified algebras
• Kazhdan-Lusztig theory of super type D and quantum symmetric pairs
• Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module
• Representation Theory of Artin Algebras I
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Tilting modules for classical Lie superalgebras
• The Primitive Spectrum and Category  for the Periplectic Lie Superalgebra
• Parabolic category O for classical Lie superalgebras
• Representations of the General Linear Lie Superalgebra in the BGG Category $$\mathcal{O}$$
• A Module Induced from a Whittaker Module
• Whittaker Categories and Whittaker Modules for Lie Superalgebras
• Des catégories abéliennes
• Stratifying endomorphism algebras
• Lie superalgebras
• Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras

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