1997/07/03 by A. Kuniba, Kuniba, A., K. C. Misra +7
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA #q-alg
paper · pdf · doi:10.48550/arxiv.q-alg/9707004
Latex 24, pages
arxiv created 1997/07/03 · arxiv updated 2009/11/30
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.