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Characters of Demazure modules and solvable lattice models

A. Kuniba·K. C. Misra·M. Okado·T. Takagi·J. Uchiyama
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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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A. Kuniba, K. C. Misra, M. Okado, T. Takagi, J. Uchiyama. 1997-07-03. Characters of Demazure modules and solvable lattice models. https://arxiv.org/abs/q-alg/9707004

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