Finding Rigged Configurations From Paths
Abstract
Description
We review reformulation of the map from tensor product of crystals to the rigged configurations in terms of the energy function of affine crystals. Especially, we give intuitive picture of the inverse scattering formalism for the periodic box-ball systems formulated by Kuniba-Takagi-Takenouchi (arXiv:math/0602481v2).
16 pages, accepted version for proceedings of ``Expansion of Combinatorial Representation Theory" (RIMS, Kyoto University, October 2007)
16 pages, accepted version for proceedings of ``Expansion of Combinatorial Representation Theory" (RIMS, Kyoto University, October 2007)