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Atomic decomposition of characters and crystals (Q5919038)

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scientific article; zbMATH DE number 7282555

Language	Label	Description	Also known as
English	Atomic decomposition of characters and crystals	scientific article; zbMATH DE number 7282555

Statements

scholarly article

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Atomic decomposition of characters and crystals (English)

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Cédric Lecouvey

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Cristian Lenart

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Advances in Mathematics

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publication date

4 December 2020

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full work available at URL

https://arxiv.org/abs/1809.01262

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zbMATH Keywords

Kostka-Foulkes polynomials

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crystals

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atomic decomposition

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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From moment graphs to intersection cohomology

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Points entiers dans les polyèdres convexes

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Nilpotent Orbit Varieties and the Atomic Decomposition of the <i>Q</i>-Kostka Polynomials

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The lattice of integer partitions

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Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits

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The decomposition theorem, perverse sheaves and the topology of algebraic maps

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The Weyl-Kac weight formula

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A positive combinatorial formula for symplectic Kostka-Foulkes polynomials. I: Rows

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Characters of the nullcone

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Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras

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Crystal bases of modified quantized enveloping algebra

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Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula

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Lie Group Representations on Polynomial Rings

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Crystal graphs and \(q\)-analogues of weight multiplicities for the root system \(A_ n\)

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Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system \(C_n\)

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Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems \(B_{n}\), \(C_{n}\) and \(D_{n}\)

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Stabilization of the Brylinski-Kostant filtration and limit of Lusztig \(q\)-analogues

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Combinatorics of Generalized Exponents

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

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Lusztig's \(q\)-analogue of weight multiplicity and one-dimensional sums for affine root systems

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YOUNG TABLEAUX, CANONICAL BASES, AND THE GINDIKIN-KARPELEVICH FORMULA

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Geometric Langlands duality and representations of algebraic groups over commutative rings

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Kostka polynomials and energy functions in solvable lattice models

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Permutohedra, Associahedra, and Beyond

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A symplectic jeu de taquin bijection between the tableaux of King and of De Concini

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Multi-atoms and monotonicity of generalized Kostka polynomials

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The partial order of dominant weights

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2020.107453

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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:5919038

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