Title: Integrable Structure of Multispecies Zero Range Process,
Abstract: 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 tetrahedron
equation and generalized quantum groups at a special point of the spectral
parameter.