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- W3123751702 abstract "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, the rule reproduces the ball-moving algorithm in Takahashi-Satsuma's box-ball system. For non-exceptional g_n other than A^{(1)}_n, it is described as a motion of particles and anti-particles which undergo pair-annihilation and creation through a neutral bound state. The algorithm is formulated without using representation theory nor crystal basis theory." @default.
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- W3123751702 date "2001-11-28" @default.
- W3123751702 modified "2023-10-16" @default.
- W3123751702 title "Simple algorithm for factorized dynamics of the $frak{g}_n$-automaton" @default.
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- W3123751702 doi "https://doi.org/10.1088/0305-4470/34/48/331" @default.
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