A deformation of affine Hecke algebra and integrable stochastic particle system

@article{Takeyama2014ADO,
  title={A deformation of affine Hecke algebra and integrable stochastic particle system},
  author={Yoshihiro Takeyama},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2014},
  volume={47}
}
  • Y. Takeyama
  • Published 8 July 2014
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We introduce a deformation of the affine Hecke algebra of type GL ?> which describes the commutation relations of the divided difference operators found by Lascoux and Schützenberger and the multiplication operators. Making use of its representation we construct an integrable stochastic particle system. It is a generalization of the q-Boson system due to Sasamoto and Wadati. We also construct eigenfunctions of its generator using the propagation operator. As a result we get the same… 

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