Skew Young diagram method in spectral decomposition of integrable lattice models. II: Higher levels.

DOI10.1016/S0550-3213(98)00351-4zbMath1033.17018arXivq-alg/9711009MaRDI QIDQ1570602

Anatol N. Kirillov, Atsuo Kuniba, Tomoki Nakanishi

Publication date: 11 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9711009

zbMATH Keywords

charactersspectrumskew Schur functionspath spacespectral decompositionvertex modelKostka-Foulkes polynomialsKostka numbersquantized affine algebrabranching functionsNakayashiki-Yamada's theorem

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23)

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Cites Work

• On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan numbers
• Polyhedra in the scheme space and the canonical basis in irreducible representations of \({\mathfrak gl}_ 3\)
• Kostka polynomials and energy functions in solvable lattice models
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Skew Young diagram method in spectral decomposition of integrable lattice models
• Crystal graphs and \(q\)-analogues of weight multiplicities for the root system \(A_ n\)
• Spectral decomposition of path space in solvable lattice model
• AFFINE CRYSTALS AND VERTEX MODELS
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