Kuniba, Atsuo; Mangazeev, Vladimir; Maruyama, S; Okado, Masato
We show that the quantum R matrix for symmetric tensor representations of View the MathML sourceUq(An(1)) satisfies the sum rule required for its stochastic interpretation under a suitable gauge. Its matrix elements at a special point of the spectral parameter are found to factorize into the form that naturally extends Povolotsky's local transition rate in the q -Hahn process for n=1n=1. Based on these results we formulate new discrete and continuous time integrable Markov processes on a...[Show more]
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