Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾ (Q4709881)

scientific article; zbMATH DE number 1930477

Language	Label	Description	Also known as
English	Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾	scientific article; zbMATH DE number 1930477

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instance of

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title

Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾ (English)

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Representation Theory of the American Mathematical Society

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publication date

19 June 2003

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full work available at URL

https://arxiv.org/abs/math/0105017

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zbMATH Keywords

virtual crystal

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fermionic formulae

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affine algebras

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Bethe ansatz

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exactly solvable lattice models

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MaRDI profile type

MaRDI publication profile

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cites work

Finite-dimensional representations of quantum affine algebras

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Zero actions and energy functions for perfect crystals

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Subgroup lattices and symmetric functions

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

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\(q\)-wedge modules for quantized enveloping algebras of classical type

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Q4301633

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AFFINE CRYSTALS AND VERTEX MODELS

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Perfect crystals of quantum affine Lie algebras

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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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Q4893236

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On level-zero representation of quantized affine algebras.

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Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras

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Representations of Coxeter groups and Hecke algebras

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Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

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Combinatorics, Bethe Ansatz, and representations of the symmetric group

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The Bethe Ansatz and the combinatorics of Young tableaux

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Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras

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A bijection between Littlewood-Richardson tableaux and rigged configurations

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Permutations, matrices, and generalized Young tableaux

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Level one perfect crystals for \(B_n^{(1)}\), \(C_n^{(1)}\), and \(D_n^{(1)}\)

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Demazure modules and perfect crystals

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Q4152710

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

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Green polynomials and singularities of unipotent classes

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Q4399987

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Q2751097

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Kostka polynomials and energy functions in solvable lattice models

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Q2782404

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Longest Increasing and Decreasing Subsequences

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Inhomogeneous lattice paths, generalized Kostka polynomials and \(A_{n-1}\) supernomials

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A cyclage poset structure for Littlewood-Richardson tableaux

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Multi-atoms and monotonicity of generalized Kostka polynomials

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Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties

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Multiplicity-free products of Schur functions

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Perfect crystals of \(U_q(G_2^{(1)})\)

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Identifiers

zbMATH Open document ID

1026.81024

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DOI

10.1090/S1088-4165-03-00155-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4709881