Theoretical and Mathematical Physics

, Volume 192, Issue 2, pp 1218–1229 | Cite as

Rings of h-deformed differential operators

Article

Abstract

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.

Keywords

reduction algebra oscillatory realization ring of differential operators Gelfand–Kirillov conjecture dynamical Yang–Baxter equation 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Aix Marseille UnivUniversité de Toulon, CNRS, CPTMarseilleFrance
  2. 2.Kazan Federal UniversityKazanRussia
  3. 3.Lebedev Physical InstituteRASMoscowRussia

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