Finding Rigged Configurations From Paths
arXiv:0804.2511
Abstract
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)
References in corpus (9)
- The A^{(1)}_M automata related to crystals of symmetric tensors
- Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
- Fundamental Cycle of a Periodic Box-Ball System
- On a Periodic Soliton Cellular Automaton
- Tau functions in combinatorial Bethe ansatz
- Bethe ansatz and inverse scattering transform in a periodic box-ball system
- Kirillov--Schilling--Shimozono bijection as energy functions of crystals
- Crystal Interpretation of Kerov-Kirillov-Reshetikhin Bijection II. Proof for sl_n Case
- The Bethe ansatz in a periodic box-ball system and the ultradiscrete Riemann theta function