Integrable Structure of Multispecies Zero Range Process
arXiv:1701.07279 · doi:10.3842/SIGMA.2017.044
Abstract
We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic matrices of quantum affine algebra , matrix product construction of stationary states for periodic systems, -boson representation of Zamolodchikov-Faddeev algebra, etc. We also introduce new commuting Markov transfer matrices having a mixed boundary condition and prove the factorization of a family of matrices associated with the tetrahedron equation and generalized quantum groups at a special point of the spectral parameter.
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