Algebraic construction of multi-species q-Boson system

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.

18 pages

References in corpus (2)

• Trigonometric Cherednik algebra at critical level and quantum many-body problems
• Unitary representations of affine Hecke algebras related to Macdonald spherical functions

Cited by in corpus (1)

• Density and current profiles in $U_q(A_2^{(1)})$ zero range process