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Skew Young Diagram Method in Spectral Decomposition of Integrable Lattice Models
1997
The spectral decomposition of the path space of the vertex model associated to the vector representation of the quantized affine algebra Uq(bsln) is studied. We give a one-to-one correspondence between the spin configurations and the semi-standard tableaux of skew Young diagrams. As a result we obtain a formula of the characters for the degeneracy of the spectrum in terms of skew Schur functions. We conjecture that our result describes the sln-module contents of the Yangian Y (sln)-module
doi:10.17615/tym7-fa33
fatcat:ikle4td2m5hgrohri2tzoeflru