Taichiro Takagi 2005 J. Phys. A: Math. Gen. 38 1961 doi:10.1088/0305-4470/38/9/009
Taichiro Takagi
Show affiliationsWe present an algorithm to reduce the coloured box–ball system, a one-dimensional integrable cellular automaton described by motions of several colours (kinds) of balls, into a simpler monochrome system. This algorithm extracts the colour degree of freedom of the automaton as a word which turns out to be a conserved quantity of this dynamical system. It is based on the theory of crystal basis and in particular on the tensor products of sln crystals of symmetric and anti-symmetric tensor representations.
15A69 Multilinear algebra, tensor products
Issue 9 (4 March 2005)
Received 8 November 2004, in final form 30 December 2004
Published 16 February 2005
Taichiro Takagi 2005 J. Phys. A: Math. Gen. 38 1961
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