The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
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Publication:2342122
DOI10.1215/00127094-2881265zbMath1387.17013arXiv1203.0092OpenAlexW3102643236WikidataQ123251065 ScholiaQ123251065MaRDI QIDQ2342122
Shun-Jen Cheng, Weiqiang Wang, Ngau Lam
Publication date: 8 May 2015
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.0092
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (36)
An inversion formula for some Fock spaces ⋮ Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras ⋮ The primitive spectrum for \(\mathfrak{gl}(m|n)\) ⋮ Graded super duality for general linear Lie superalgebras ⋮ Equivalence of blocks for the general linear Lie superalgebra ⋮ Kazhdan-Lusztig theory of super type D and quantum symmetric pairs ⋮ Quantum symmetric pairs ⋮ Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Parabolic category for periplectic Lie superalgebras ⋮ Homological invariants in category $\mathcal {O}$ for the general linear superalgebra ⋮ Derived Varieties of Complexes and Kostant’s Theorem for $$\mathfrak{gl}(\mathrm{m}|\mathrm{n})$$ ⋮ Integrable sl(∞)‐modules and category O for gl(m|n) ⋮ Characters for projective modules in the BGG category \(\mathcal{O}\) for the orthosymplectic Lie superalgebra \(\mathfrak{osp}(3 | 4)\) ⋮ Unnamed Item ⋮ Whittaker coinvariants for \(\mathrm{GL}(m|n)\) ⋮ Blocks and characters of \(G(3)\)-modules of non-integral weights ⋮ Finite-dimensional representations of periplectic Lie superalgebras ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ Type A blocks of super category \(\mathcal{O}\) ⋮ Canonical bases for tensor products and super Kazhdan-Lusztig theory ⋮ Whittaker modules for classical Lie superalgebras ⋮ Jantzen filtration and strong linkage principle for modular Lie superalgebras ⋮ Characters for projective modules in the BGG category \(\mathcal{O}\) for general linear Lie superalgebras ⋮ Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\) ⋮ Parabolic category O for classical Lie superalgebras ⋮ On blocks in restricted representations of Lie superalgebras of Cartan type ⋮ The primitive spectrum of a basic classical Lie superalgebra ⋮ Reduction method for representations of queer Lie superalgebras ⋮ Projective modules over classical Lie algebras of infinite rank in the parabolic category ⋮ Tilting modules for classical Lie superalgebras ⋮ Character formulae in category \(\mathcal{O}\) for exceptional Lie superalgebras \(D(2|1; \zeta)\) ⋮ Book Review: Lie superalgebras and enveloping algebras ⋮ Blocks and characters of \(D(2|1; \zeta)\)-modules of non-integral weights ⋮ Character formulas in category \(\mathcal{O}\) for exceptional Lie superalgebra \(G(3)\) ⋮ THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE
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