English

Algebraic construction of multi-species q-Boson system

Mathematical Physics 2015-07-09 v1 math.MP Quantum Algebra Exactly Solvable and Integrable Systems

Abstract

We construct a stochastic particle system which is a multi-species version of the q-Boson system due to Sasamoto and Wadati. Its transition rate matrix is obtained from a representation of a deformation of the affine Hecke algebra of type GL.

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Cite

@article{arxiv.1507.02033,
  title  = {Algebraic construction of multi-species q-Boson system},
  author = {Yoshihiro Takeyama},
  journal= {arXiv preprint arXiv:1507.02033},
  year   = {2015}
}

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18 pages