A GRAPHICAL DESCRIPTION OF (Dn,An−1) KAZHDAN–LUSZTIG POLYNOMIALS

DOI10.1017/S0017089512000547zbMath1272.17014arXiv1205.2935OpenAlexW2962946192MaRDI QIDQ4916843

Catharina Stroppel, Tobias Lejczyk

Publication date: 26 April 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2935

zbMATH Keywords

Kazhdan-Lusztig polynomialdiagram algebraparabolic category \(\mathcal{O}\)generalized Khovanov algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of associative Artinian rings (16G10)

Related Items (10)

Parabolic Kazhdan-Lusztig polynomials for quasi-minuscule quotients ⋮ Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality ⋮ Semi-simplicity of Temperley-Lieb algebras of type D ⋮ Shuffling functors and spherical twists on \(D^{\mathrm{b}}(\mathcal{O}_0)\) ⋮ Thick ideals in Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(O_\delta)\) ⋮ Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians ⋮ Equivalence of a tangle category and a category of infinite dimensional 𝑈_{𝑞}(𝔰𝔩₂)-modules ⋮ Irreducible components of two-row Springer fibers for all classical types ⋮ Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory ⋮ Topology of two-row Springer fibers for the even orthogonal and symplectic group

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