Abstract
The quantization problem for the trace-bracket algebra, derived from double Poisson brackets, is discussed. We obtain a generalization of the boundary YBE (or so-called ABCD-algebra) for the quantization of quadratic trace-brackets. A dynamical deformation is proposed on the lines of Gervais–Neveu–Felder dynamical quantum algebras.
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Avan, J., Ragoucy, E. & Rubtsov, V. Quantization and Dynamisation of Trace-Poisson Brackets. Commun. Math. Phys. 341, 263–287 (2016). https://doi.org/10.1007/s00220-015-2538-y
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DOI: https://doi.org/10.1007/s00220-015-2538-y