Simple algorithm for factorized dynamics of the \({\mathfrak g}_n\)-automaton (Q2773096)

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scientific article; zbMATH DE number 1709249
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Simple algorithm for factorized dynamics of the \({\mathfrak g}_n\)-automaton
scientific article; zbMATH DE number 1709249

    Statements

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    6 March 2002
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    soliton cellular automata
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    quantum affine algebra
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    Takahashi-Satsuma box-ball system
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    analogue of the ball-moving algorithm
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    Simple algorithm for factorized dynamics of the \({\mathfrak g}_n\)-automaton (English)
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    The goal of this paper is to translate the factorized dynamics stated in the crystal language into an analogue of the ball-moving algorithm, and thereby to describe the \({\mathfrak g}_n\)-automaton in terms of a simple evolution rule. The algorithm is formulated without using representation theory or crystal basis theory.
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