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Categorifications from planar diagrammatics (Q627548)

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Language	Label	Description	Also known as
English	Categorifications from planar diagrammatics	scientific article

Statements

scholarly article

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Categorifications from planar diagrammatics (English)

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zbMATH Open document ID

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10.1007/s11537-010-0925-x

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Japanese Journal of Mathematics. 3rd Series

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publication date

2 March 2011

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full work available at URL

https://arxiv.org/abs/1008.5084

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

categorification

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Soergel bimodules

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quantum groups

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Mikhail G. Khovanov

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MaRDI profile type

MaRDI publication profile

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On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)

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Cyclotomic q-Schur algebras as quotients of quantum algebras

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Algebraic structures on Grothendieck groups of a tower of algebras.

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A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors

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Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.

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Graded decomposition numbers for cyclotomic Hecke algebras.

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Graded Specht modules

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Braiding via geometric Lie algebra actions

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Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.

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Introduction to linear bicategories

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Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases

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A diagrammatic Temperley-Lieb categorification

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Diagrammatics for Soergel categories

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Rouquier complexes are functorial over braid cobordisms

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Representations of quiver Hecke algebras via Lyndon bases.

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The geometry of tensor calculus. I

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Adjoint Functors

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On crystal bases of the \(q\)-analogue of universal enveloping algebras

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A functor-valued invariant of tangles

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TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES

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A diagrammatic approach to categorification of quantum groups I

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A diagrammatic approach to categorification of quantum groups II

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A categorification of quantum \(\text{sl}(n)\)

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Matrix factorizations and link homology. II.

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Braid cobordisms, triangulated categories, and flag varieties

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A categorification of quantum \(\mathfrak{sl}(2)\)

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Presentation of right-angled Soergel categories by generators and relations.

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Bimodules in bordered Heegaard Floer homology

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Canonical Bases Arising from Quantized Enveloping Algebras

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Introduction to quantum groups

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A diagrammatic categorification of the \(q\)-Schur algebra

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The diagrammatic Soergel category and \(sl(N)\)-foams, for \(N\geq 4\)

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A combinatorial approach to functorial quantum sl<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>k</i></sub> knot invariants

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Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

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Hall algebras and quantum groups

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The combinatorics of Harish-Chandra bimodules.

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Canonical bases and KLR-algebras

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The diagrammatic Soergel category and \(\mathrm{sl}(2)\) and \(\mathrm{sl}(3)\) foams

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A geometric construction of colored HOMFLYPT homology

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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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Representations of finite classical groups. A Hopf algebra approach

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Mathematics(1 entry)

mardi Publication:627548

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