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Box ball system associated with antisymmetric tensor crystals

Quantum Algebra 2009-11-10 v2

Abstract

A new box ball system associated with an antisymmetric tensor crystal of the quantum affine algebra of type A is considered. This includes the so-called colored box ball system with capacity 1 as the simplest case. Infinite number of conserved quantities are constructed and the scattering rule of two olitons are given explicitly.

Cite

@article{arxiv.math/0312461,
  title  = {Box ball system associated with antisymmetric tensor crystals},
  author = {Daisuke Yamada},
  journal= {arXiv preprint arXiv:math/0312461},
  year   = {2009}
}

Comments

15 pages