Characters of Demazure modules and solvable lattice models

Details Characters of Demazure modules and solvable lattice models Characters of Demazure modules and solvable lattice models

1997-07-03

arxiv.org/abs/q-alg/9707004v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex 24, pages

Scientific paper

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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