Super duality and Kazhdan-Lusztig polynomials

DOI10.1090/S0002-9947-08-04447-4zbMath1234.17004arXivmath/0409016OpenAlexW2024611952MaRDI QIDQ3532548

Shun-Jen Cheng, Weiqiang Wang, Ruibin Zhang

Publication date: 28 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0409016

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Related Items (25)

Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪 ⋮ Generalised Jantzen filtration of exceptional Lie superalgebras ⋮ Dual canonical bases and Kazhdan-Lusztig polynomials ⋮ Graded super duality for general linear Lie superalgebras ⋮ Irreducible characters of Kac-Moody Lie superalgebras ⋮ Cyclic Demazure modules and positroid varieties ⋮ The first and second fundamental theorems of invariant theory for the quantum general linear supergroup ⋮ The degenerate affine walled Brauer algebra ⋮ Solutions of super Knizhnik-Zamolodchikov equations ⋮ Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup ⋮ Super duality and homology of unitarizable modules of Lie algebras ⋮ Irreducible characters of general linear superalgebra and super duality ⋮ Super duality and irreducible characters of ortho-symplectic Lie superalgebras ⋮ Littlewood identity and crystal bases ⋮ Derived Varieties of Complexes and Kostant’s Theorem for $$\mathfrak{gl}(\mathrm{m}|\mathrm{n})$$ ⋮ Pseudocompact algebras and highest weight categories ⋮ A BGG-type resolution for tensor modules over general linear superalgebra ⋮ Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\) ⋮ \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras ⋮ Kostant homology formulas for oscillator modules of Lie superalgebras ⋮ Character and dimension formulae for queer Lie superalgebra ⋮ A Weyl-Type character formula for PDC modules of gl(m|n) ⋮ A combinatorial proof of a Weyl type formula for hook Schur polynomials ⋮ Projective modules over classical Lie algebras of infinite rank in the parabolic category ⋮ The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras

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