Kostka Polynomials and Energy Functions in Solvable Lattice Models
classification
q-alg
hep-thmath.QA
keywords
energykostkalatticemodelspolynomialssolvableapplicationbranching
read the original 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 ${\widehat {sl_n}}/{sl_n}$ as a limit of Kostka polynomials is proved.
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