English

Rings of $\h$-deformed differential operators

Rings and Algebras 2016-12-26 v1 Mathematical Physics math.MP Quantum Algebra Representation Theory

Abstract

We describe the center of the ring \Diff(n)\Diff(n) of \h\h-deformed differential operators of type A. We establish an isomorphism between certain localizations of \Diff(n)\Diff(n) and the Weyl algebra Wn\text{W}_n extended by nn indeterminates.

Keywords

Cite

@article{arxiv.1612.08001,
  title  = {Rings of $\h$-deformed differential operators},
  author = {B. Herlemont and O. Ogievetsky},
  journal= {arXiv preprint arXiv:1612.08001},
  year   = {2016}
}