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Article Dans Une Revue Communications in Mathematical Physics Année : 2016

Quantization and dynamisation of Trace-Poisson brackets

V. Rubtsov
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-00942072 , version 1 (04-02-2014)

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Citer

Jean Avan, E. Ragoucy, V. Rubtsov. Quantization and dynamisation of Trace-Poisson brackets. Communications in Mathematical Physics, 2016, 341 (1), pp.263-287. ⟨10.1007/s00220-015-2538-y⟩. ⟨hal-00942072⟩
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