Kostka Polynomials and Energy Functions in Solvable Lattice Models

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 $\widehat{s{l}_n}/s{l}_n$ as a limit of Kostka polynomials is proved.

The main text is written by plaintex. The figures are written by latex and appended at the end of the main text. 39-pages(text), 12-pages(figures)

References in corpus (1)

• On the combinatorics of row and corner transfer matrices of the $A_{n-1}^{(1)}$ restricted face models

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