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.

arXiv comment18 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 (8)

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• Modified Macdonald polynomials and the multispecies zero range process: I
• Current statistics in the q-boson zero range process
• Integrable Structure of Multispecies Zero Range Process
• Density and current profiles in $U_q(A_2^{(1)})$ zero range process
• On the eigenfunctions for the multi-species q-Boson system
• Multispecies totally asymmetric zero range process: II. Hat relation and tetrahedron equation