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A diagrammatic approach to categorification of quantum groups I (Q3558881)

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Language	Label	Description	Also known as
English	A diagrammatic approach to categorification of quantum groups I	scientific article

Statements

scholarly article

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A diagrammatic approach to categorification of quantum groups I (English)

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Mikhail G. Khovanov

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Representation Theory of the American Mathematical Society

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publication date

11 May 2010

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full work available at URL

https://arxiv.org/abs/0803.4121

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zbMATH Keywords

categorification

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quantum groups

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Grothendieck ring

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canonical basis

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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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A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)

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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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Singular loci of Schubert varieties

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Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}

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

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

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Invariants symétriques entiers des groupes de Weyl et torsion

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A categorification of finite-dimensional irreducible representations of quantum \({\mathfrak{sl}_2}\) and their tensor products

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Strong multiplicity one theorems for affine Hecke algebras of type \(A\).

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Crystalizing the q-analogue of universal enveloping algebras

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

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NILCOXETER ALGEBRAS CATEGORIFY THE WEYL ALGEBRA

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Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux

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On Decomposition Numbers and Branching Coefficients for Symmetric and Special Linear Groups

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The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)

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Hecke algebras at roots of unity and crystal bases of quantum affine algebras

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

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Dual canonical bases, quantum shuffles and \(q\)-characters

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Canonical Bases Arising from Quantized Enveloping Algebras

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Canonical Bases Arising from Quantized Enveloping Algebras. II

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Quivers, Perverse Sheaves, and Quantized Enveloping Algebras

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Introduction to quantum groups

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Methods of graded rings.

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Monomials in canonical bases of quantum groups and quadratic forms

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Hall algebras and quantum groups

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Parameterizing Hecke algebra modules: Bernstein-Zelevinsky multisegments, Kleshchev multipartitions, and crystal graphs.

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

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Identifiers

zbMATH Open document ID

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10.1090/S1088-4165-09-00346-X

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3558881

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