Algebraic construction of multi-species q-Boson system

2015/07/08 by Yoshihiro Takeyama, Takeyama, Yoshihiro · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Random Matrices and Applications #math-ph #math.MP #math.QA #nlin.SI

paper · pdf · doi:10.48550/arxiv.1507.02033

18 pages

arxiv created 2015/07/08 · arxiv updated 2015/07/09

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.

Cited by

• On the eigenfunctions for the multi-species q-Boson system
• Stochastic R matrix for Uq(An(1))

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