Communications in Mathematical Physics

, Volume 254, Issue 3, pp 603–650 | Cite as

Quantization of Classical Dynamical r-Matrices with Nonabelian Base

  • Benjamin Enriquez
  • Pavel EtingofEmail author


We construct some classes of dynamical r-matrices over a nonabelian base, and quantize some of them by constructing dynamical (pseudo)twists in the sense of Xu. This way, we obtain quantizations of r-matrices obtained in earlier work of the second author with Schiffmann and Varchenko. A part of our construction may be viewed as a generalization of the Donin-Mudrov nonabelian fusion construction. We apply these results to the construction of equivariant star-products on Poisson homogeneous spaces, which include some homogeneous spaces introduced by De Concini.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.IRMA (CNRS)StrasbourgFrance
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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