The Half-space Six-vertex Model

William Mead
University of Melbourne
School of Mathematics and Statistics

We consider a family of symmetric functions defined by double-row transfer matrices of the six-vertex model with boundaries. These functions are directly related to the open boundary ASEP and the enumeration of symmetry classes of alternating sign matrices. For general open boundary parameters, we will evaluate special cases of these symmetric functions and prove a new Cauchy identity. Based on joint work with Alexandr Garbali, Jan de Gier and Michael Wheeler.


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