Kostka Polynomials and Energy Functions in Solvable Lattice Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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

Scientific paper

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.

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