English

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

High Energy Physics - Theory 2015-05-19 v2

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.

Keywords

Cite

@article{arxiv.1505.01516,
  title  = {On quantum Freidel-Maillet algebra for non-ultralocal integrable systems},
  author = {A. Melikyan and G. Weber},
  journal= {arXiv preprint arXiv:1505.01516},
  year   = {2015}
}

Comments

11 pages; v2: comments and references added

R2 v1 2026-06-22T09:29:23.151Z