Integrable Structure of Multispecies Zero Range Process

Atsuo Kuniba, Masato Okado, Satoshi Watanabe
2017 Symmetry, Integrability and Geometry: Methods and Applications  
We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic R matrices of quantum affine algebra U_q (A^(1)_n), matrix product construction of stationary states for periodic systems, q-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 R matrices associated with the
more » ... etrahedron equation and generalized quantum groups at a special point of the spectral parameter.
doi:10.3842/sigma.2017.044 fatcat:aeeafb747rctljtefw4gqx2yge