Characters of Demazure modules and solvable lattice models
arXiv:q-alg/9707004
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 -multinomial coefficients for several level 1 modules of classical affine algebras.
Latex 24, pages