4 papers
Scattering rules in soliton cellular automata associated with crystal bases
G. Hatayama, A. Kuniba, M. Okado +2
Solvable vertex models in a ferromagnetic regime give rise to soliton cellular automata at q=0. By means of the crystal base theory, we study a class of such automata associated wi…
Combinatorial R matrices for a family of crystals : C^{(1)}_n and A^{(2)}_{2n-1} cases
Goro Hatayama, Atsuo Kuniba, Masato Okado +1
The combinatorial R matrices are obtained for a family {B_l} of crystals for U'_q(C^{(1)}_n) and U'_q(A^{(2)}_{2n-1}), where B_l is the crystal of the irreducible module correspond…
Finite Crystals and Paths
Goro Hatayama, Yoshiyuki Koga, Atsuo Kuniba +2
We consider a category of finite crystals of a quantum affine algebra whose objects are not necessarily perfect, and set of paths, semi-infinite tensor product of an object of this…
Remarks on Fermionic Formula
Goro Hatayama, Atsuo Kuniba, Masato Okado +2
Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We…