  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
${\widehat {sl_n}}/{sl_n}$ as a limit of Kostka polynomials is proved.

Quantum Algebra;High Energy Physics - Theory;Quantum Algebra