# YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS

@article{Bufetov2019YANGBAXTERFF,
title={YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS},
author={Alexey Bufetov and Leonid A. Petrov},
journal={Forum of Mathematics, Sigma},
year={2019},
volume={7}
}
• Published 13 December 2017
• Mathematics
• Forum of Mathematics, Sigma
Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$ . Combining these moves leads to a new object which we call the spin Hall–Littlewood Yang–Baxter field—a probability distribution on two-dimensional arrays of particle configurations on the discrete line. We identify joint distributions along down-right paths in the Yang–Baxter field with spin Hall–Littlewood processes, a…
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