A diagrammatic approach to categorification of quantum groups III

Abstract

We categorify the idempotented form of quantum sl(n).

88 pages, LaTeX2e with xypic and pstricks macros, 3 eps files

References in corpus (7)

• A diagrammatic approach to categorification of quantum groups I
• A diagrammatic approach to categorification of quantum groups II
• A categorification of quantum sl(2)
• Derived equivalences for symmetric groups and sl\_2-categorification
• Category O and sl(k) link invariants
• Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties
• Categorification of integrable representations of quantum groups

Cited by in corpus (79)

• A diagrammatic approach to categorification of quantum groups I
• A diagrammatic approach to categorification of quantum groups II
• Knot invariants and higher representation theory
• Webs and quantum skew Howe duality
• Crystals from categorified quantum groups
• Diagrammatics for Soergel categories
• Monoidal supercategories
• Quiver Schur algebras and q-Fock space
• Heisenberg categorification and Hilbert schemes
• Canonical bases and higher representation theory
• Cell 2-representations of finitary 2-categories
• Tensor product categorifications and the super Kazhdan-Lusztig conjecture
• On uniqueness of tensor products of irreducible categorifications
• Deformations of colored sl(N) link homologies via foams
• Integral presentations of quantum lattice Heisenberg algebras
• The Blanchet-Khovanov algebras
• Hecke algebras, finite general linear groups, and Heisenberg categorification
• On the center of quiver-Hecke algebras
• Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties
• The sl_3 web algebra
• An approach to categorification of some small quantum groups II
• Simple transitive 2-representations via (co)algebra 1-morphisms
• Implicit structure in 2-representations of quantum groups
• Braiding via geometric Lie algebra actions
• Categorified skew Howe duality and comparison of knot homologies
• Current algebras and categorified quantum groups
• Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
• Trace as an alternative decategorification functor
• A categorical action on quantized quiver varieties
• A categorification of quantum sl(2) at prime roots of unity
• Quantum groups via cyclic quiver varieties I
• Cyclicity for categorified quantum groups
• Geometric Schur duality of classical type
• Remarks on coloured triply graded link invariants
• Heisenberg and Kac-Moody categorification
• An approach to categorification of Verma modules
• The degenerate affine walled Brauer algebra
• Invariants of 4-manifolds from Khovanov-Rozansky link homology
• Quantum gl(1|1) and tangle Floer homology
• Braid group actions via categorified Heisenberg complexes
• The differential graded odd nilHecke algebra
• Super Kac-Moody 2-categories
• Simple transitive $2$-representations of Soergel bimodules for finite Coxeter types
• Bimodules over uniformly oriented A_n quivers with radical square zero
• ${\mathfrak{gl}}_n$-webs, categorification and Khovanov-Rozansky homologies
• Categorified sl(N) invariants of colored rational tangles
• Skein Modules from Skew Howe Duality and Affine Extensions
• W-algebras from Heisenberg categories
• Ozsvath-Szabo bordered algebras and subquotients of category O
• p-DG cyclotomic nilHecke algebras
• Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) knot invariants
• A categorification of the Casimir of quantum sl(2)
• Nilpotency in type A cyclotomic quotients
• Monoidal categories, representation gap and cryptography
• Odd Grassmannian bimodules and derived equivalences for spin symmetric groups
• Categorification of tensor product representations of sl(k) and category O
• A diagrammatic categorification of the affine q-Schur algebra S(n,n) for n > 2
• Odd Khovanov homology for tangles
• String diagrams and categorification
• The Khovanov-Lauda 2-category and categorifications of a level two quantum sl(n) representation
• An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras
• A Diagrammatic Temperley-Lieb Categorification
• Planar diagrammatics of self-adjoint functors and recognizable tree series
• Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
• A categorification of a quantum Frobenius map
• An equivalence between truncations of categorified quantum groups and Heisenberg categories
• On category $\mathcal{O}$ for affine Grassmannian slices and categorified tensor products
• Trivalent vertices and bordered knot Floer homology in the standard basis
• Parameters in categorified quantum groups
• Curved Rickard complexes and link homologies
• Not even Khovanov homology
• Categorified quantum sl(2) is an inverse limit of flag 2-categories
• Categorification of the internal braid group action for quantum groups I: 2-functoriality
• Clifford-symmetric polynomials
• Cell 2-Representations and Categorification at Prime Roots of Unity
• Towards functor exponentiation
• Graded triangular bases
• A braid group action on a $p$-DG homotopy category
• Enhanced nilHecke algebras and baby Verma modules