Characters of Demazure modules and solvable lattice models
A. Kuniba, K. C. Misra, M. Okado, T. Takagi, J. Uchiyama
Abstract
We study the path realization of Demazure crystals related to solvable lattice models in statistical mechanics. Various characters are represented in a unified way as the sums over one dimensional configurations which we call unrestricted, classically restricted and restricted paths. As an application characters of Demazure modules are obtained in terms of q-multinomial coefficients for several level 1 modules of classical affine algebras.
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