Some Remarks on $A_1^{(1)}$ Soliton Cellular Automata
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概要
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We describe the $A_1^{(1)}$ soliton cellular automata as an evolution of a poset. This allows us to explain the conservation laws for the $A_1^{(1)}$ soliton cellular automata, one given by Torii, Takahashi and Satsuma, and the other given by Fukuda, Okado and Yamada, in terms of the stack permutations of states in a very natural manner. As a biproduct, we can prove a conjectured formula relating these laws.
- 東京大学の論文