English

On solvable elements in the Weyl algebra

Rings and Algebras 2017-03-14 v1

Abstract

We show that to determine all solvable elements in the Weyl algebra is closely related to the Dixmier's open question. Sufficient conditions for an elements being unsolvable are given, and properties of solvable elements are obtained.

Keywords

Cite

@article{arxiv.1703.04076,
  title  = {On solvable elements in the Weyl algebra},
  author = {Chaowen Zhang},
  journal= {arXiv preprint arXiv:1703.04076},
  year   = {2017}
}
R2 v1 2026-06-22T18:43:21.695Z