Paths, Crystals and Fermionic Formulae
Paths, Crystals and Fermionic Formulae
We introduce a fermionic formula associated with any quantum affine algebra U q (X () . Guided by the interplay between corner transfer matrix and the Bethe ansatz in solvable lattice models, we study several aspects related to representation theory, most crucially, the crystal basis theory. They include one-dimensional sums …