English

Quantization and dynamisation of Trace-Poisson brackets

Mathematical Physics 2016-01-15 v1 math.MP Quantum Algebra

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.

Keywords

Cite

@article{arxiv.1401.7629,
  title  = {Quantization and dynamisation of Trace-Poisson brackets},
  author = {Jean Avan and Eric Ragoucy and Vladimir Rubtsov},
  journal= {arXiv preprint arXiv:1401.7629},
  year   = {2016}
}

Comments

26 pages

R2 v1 2026-06-22T02:57:18.658Z