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Quantization and dynamisation of Trace-Poisson brackets

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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https://hal.archives-ouvertes.fr/hal-00942072
Contributor : Vladimir Roubtsov <>
Submitted on : Tuesday, February 4, 2014 - 4:11:04 PM
Last modification on : Monday, March 9, 2020 - 6:07:15 PM

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  • HAL Id : hal-00942072, version 1
  • ARXIV : 1401.7629

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J. Avan, E. Ragoucy, V. Rubtsov. Quantization and dynamisation of Trace-Poisson brackets. Communications in Mathematical Physics, Springer Verlag, 2016, 341, pp.263-287. ⟨hal-00942072⟩

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