On quantum Freidel-Maillet algebra for non-ultralocal integrable systems

preprint2015arXivOpen access

Abstract

We consider the quantum algebra of transition matrices for non-ultralocal integrable systems, and show that a regularization of the singular operator products in the quantum algebra via Sklyanin's product leads to well-defined expressions, reproducing in the classical limit Maillet's symmetrization prescription for Poisson brackets.

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