Kostka polynomials and energy functions in solvable lattice models

DOI10.1007/S000290050020zbMATH Open0915.17016arXivq-alg/9512027OpenAlexW2592517104MaRDI QIDQ1126916

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Publication date: 30 June 1999

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Abstract: The relation between the charge of Lascoux-Schuzenberger and the energy function in solvable lattice models is clarified. As an application, A.N.Kirillov's conjecture on the expression of the branching coefficient of $widehats{l}_n/s{l}_n$ as a limit of Kostka polynomials is proved.

Full work available at URL: https://arxiv.org/abs/q-alg/9512027

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