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math.QA2000★ 14 cited
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…
math.QA2000★ 12 cited
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…