120 citations · 294 across the 10 of their papers we have counts for
10 papers
Simple Algorithm for Factorized Dynamics of g_n-Automaton
Goro Hatayama, Atsuo Kuniba, Taichiro Takagi
We present an elementary algorithm for the dynamics of recently introduced soliton cellular automata associated with quantum affine algebra U_q(g_n) at q=0. For g_n = A^{(1)}_n, th…
Combinatorial R matrices for a family of crystals : B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} cases
Goro Hatayama, Atsuo Kuniba, Masato Okado +1
For coherent families of crystals of affine Lie algebras of type B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} we describe the combinatorial R matrix using column insertion…
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…
Factorization of Combinatorial R matrices and Associated Cellular Automata
Goro Hatayama, Atsuo Kuniba, Taichiro Takagi
Solvable vertex models in statistical mechanics give rise to soliton cellular automata at q=0 in a ferromagnetic regime. By means of the crystal base theory we study a class of suc…
The A^{(1)}_M automata related to crystals of symmetric tensors
Goro Hatayama, Kazuhiro Hikami, Rei Inoue +3
A soliton cellular automaton associated with crystals of symmetric tensor representations of the quantum affine algebra U'_q(A^{(1)}_M) is introduced. It is a crystal theoretic for…
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…