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Isomorphisms among quantum Grothendieck rings and propagation of positivity (Q2121987)

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Language	Label	Description	Also known as
English	Isomorphisms among quantum Grothendieck rings and propagation of positivity	scientific article

Statements

scholarly article

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Isomorphisms among quantum Grothendieck rings and propagation of positivity (English)

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Journal für die Reine und Angewandte Mathematik

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publication date

5 April 2022

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full work available at URL

https://arxiv.org/abs/2101.07489

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MaRDI profile type

MaRDI publication profile

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Finite-dimensional representations of quantum affine algebras

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Quantum cluster algebras.

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A quantum cluster algebra approach to representations of simply laced quantum affine algebras

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Minimal affinizations of representations of quantum groups: The rank 2 case

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Minimal affinizations of representations of quantum groups: The nonsimply-laced case

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CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $

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Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.

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Deformations of \(W\)-algebras associated to simple Lie algebras

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Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality

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Graded quiver varieties and singularities of normalized R-matrices for fundamental modules

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Q-data and representation theory of untwisted quantum affine algebras

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Cluster structures on quantum coordinate rings

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Quivers with relations for symmetrizable Cartan matrices. I: Foundations

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On the derived category of a finite-dimensional algebra

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Algebraic approach to \(q,t\)-characters

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Monomials of \(q\) and \(q,t\)-characters for non simply-laced quantum affinizations

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The Kirillov-Reshetikhin conjecture and solutions of T-systems

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On minimal affinizations of representations of quantum groups

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Asymptotic representations and Drinfeld rational fractions

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Cluster algebras and quantum affine algebras

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Quantum Grothendieck rings and derived Hall algebras

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A cluster algebra approach to \(q\)-characters of Kirillov-Reshetikhin modules

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Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm

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Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II

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Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras

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Simplicity of heads and socles of tensor products

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Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV

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Monoidal categorification of cluster algebras

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

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On level-zero representation of quantized affine algebras.

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Monoidal categories of modules over quantum affine algebras of type A and B

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Monoidal categories associated with strata of flag manifolds

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Monoidal categorification and quantum affine algebras

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Categorical relations between Langlands dual quantum affine algebras: doubly laced types

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Quantum unipotent subgroup and dual canonical basis

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<i>T</i>-systems and<i>Y</i>-systems in integrable systems

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Canonical Bases Arising from Quantized Enveloping Algebras

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Quivers, Perverse Sheaves, and Quantized Enveloping Algebras

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Introduction to quantum groups

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Quiver varieties and finite dimensional representations of quantum affine algebras

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Quiver varieties and \(t\)-analogs of \(q\)-characters of quantum affine algebras

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Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types

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The denominators of normalized \(R\)-matrices of types \(A_{2n-1}^{(2)}\), \(A_{2n}^{(2)}\), \(B_{n}^{(1)}\) and \(D_{n+1}^{(2)}\)

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Categorical relations between Langlands dual quantum affine algebras: exceptional cases

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Combinatorial Auslander-Reiten quivers and reduced expressions

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Triangular bases in quantum cluster algebras and monoidal categorification conjectures

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Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras

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Identifiers

zbMATH Open document ID

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10.1515/crelle-2021-0088

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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:2121987

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