Resumen de Kostka polynomials and energy functions in solvable lattice models

A. Nakayashiki, Y. Yamada

• The relation between the charge of Lascoux-Schützenberger 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 slnˆ/sln of Kostka polynomials is proved.