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arxiv: 1507.02033 · v1 · pith:TYIW3JWQnew · submitted 2015-07-08 · 🧮 math-ph · math.MP· math.QA· nlin.SI

Algebraic construction of multi-species q-Boson system

classification 🧮 math-ph math.MPmath.QAnlin.SI
keywords systemmulti-speciesq-bosonaffinealgebraalgebraicconstructconstruction
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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.

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