Generalization of the Gale-Ryser theorem

DOI10.1006/eujc.2000.0419zbMath0980.05052arXivhep-th/9304099OpenAlexW1994236875MaRDI QIDQ1590218

Anatol N. Kirillov

Publication date: 4 March 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9304099

zbMATH Keywords

irreducible representationLie algebraYoung tableaux\((0,1)\)-matrixKostka-Foulkes polynomialsBethe equationsrigged configurationKostka numbersGale-Ryser theorem

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of representation theory (05E10)

Related Items

Rigged configurations and unimodality

Cites Work

• On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan numbers
• The Yangians, Bethe Ansatz and combinatorics
• The representation theory of the symmetric groups
• Completeness of states of the generalized Heisenberg magnet
• When is the multiplicity of a weight equal to 1?
• DECOMPOSITION OF SYMMETRIC AND EXTERIOR POWERS OF THE ADJOINT REPRESENTATION OF ${\mathfrak g}l_N$ 1: UNIMODALITY OF PRINCIPAL SPECIALIZATION OF THE INTERNAL PRODUCT OF THE SCHUR FUNCTIONS
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