# 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.

## 4 Citations

### Diagonal reduction algebra and the reflection equation

- Mathematics
- 2015

We describe the diagonal reduction algebra D(gln) of the Lie algebra gln in the R-matrix formalism. As a byproduct we present two families of central elements and the braided bialgebra structure of…

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

- Mathematics
- 2018

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

- Mathematics, Physics
- 2017

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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We describe the diagonal reduction algebra D(gln) of the Lie algebra gln in the R-matrix formalism. As a byproduct we present two families of central elements and the braided bialgebra structure of…

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