Categorification of tensor powers of the vector representation of \(U_q(\mathfrak{gl}(1| 1))\)

DOI10.1007/s00029-015-0202-1zbMath1407.17012arXiv1305.6162OpenAlexW1497771938MaRDI QIDQ268165

Antonio Sartori

Publication date: 14 April 2016

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6162

zbMATH Keywords

Lie superalgebrascategory \(\mathcal{O}\)categorification\(\mathfrak{gl}(1| 1)\)induced Hecke modulesproperly stratified algebras

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 (18)

Categorification of tensor powers of the vector representation of \(U_q(\mathfrak{gl}(1| 1))\) ⋮ Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality ⋮ Khovanov-Seidel quiver algebras and Ozsváth-Szabó's bordered theory ⋮ Super \(q\)-Howe duality and web categories ⋮ Quantum \(\mathfrak{gl}_{1 | 1}\) and tangle Floer homology ⋮ Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ DG structures on odd categorified quantum \(sl(2)\) ⋮ The Blanchet-Khovanov algebras ⋮ Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \) ⋮ Mixed quantum skew Howe duality and link invariants of type \(A\) ⋮ \(\mathfrak{sl}_3\)-web bases, intermediate crystal bases and categorification ⋮ On the decategorification of Ozsváth and Szabó's bordered theory for knot Floer homology ⋮ Webs and $q$-Howe dualities in types $\mathbf {BCD}$ ⋮ Odd Khovanov's arc algebra ⋮ A categorification of \(\mathbf{U}_T(\mathfrak{sl}(1|1))\) and its tensor product representations ⋮ Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians ⋮ 𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies ⋮ Polynomial link invariants and quantum algebras

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