Characters of Demazure modules and solvable lattice models
q-alg
2008-02-03 v1 High Energy Physics - Theory
Quantum Algebra
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.
Cite
@article{arxiv.q-alg/9707004,
title = {Characters of Demazure modules and solvable lattice models},
author = {A. Kuniba and K. C. Misra and M. Okado and T. Takagi and J. Uchiyama},
journal= {arXiv preprint arXiv:q-alg/9707004},
year = {2008}
}
Comments
Latex 24, pages