Rings of h-deformed differential operators

@article{Ogievetsky2016RingsOH,
  title={Rings of h-deformed differential operators},
  author={Oleg Ogievetsky and Basile Herlemont},
  journal={Theoretical and Mathematical Physics},
  year={2016},
  volume={192},
  pages={1218-1229}
}
We describe the center of the ring Diffh(n) ofh-deformed differential operators of type A. We establish an isomorphism between certain localizations of Diffh(n) and the Weyl algebra Wn, extended by n indeterminates. 

Diagonal reduction algebra and the reflection equation

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Differential calculus on $\mathbf{h}$-deformed spaces

The ring $\text{Diff}_{\mathbf{h}}(n)$ of $\mathbf{h}$-deformed differential operators appears in the theory of reduction algebras. In this thesis, we construct the rings of generalized differential

Differential Calculus on h-Deformed Spaces

L'anneau $\Diff(n)$ des operateurs differentiels $\h$-deformes apparait dans la theorie des algebres de reduction.Dans cette these, nous construisons les anneaux des operateurs differentiels

R T ] 1 8 O ct 2 01 5 Diagonal reduction algebra and reflection equation

  • 2015

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