English

On the centralizers in the Weyl algebra

Rings and Algebras 2009-12-31 v1

Abstract

Let P,Q be elements of the Weyl algebra W. We prove that if [Q,P]=1, then the centralizer of P is the polynomial algebra k[P].

Keywords

Cite

@article{arxiv.0912.5202,
  title  = {On the centralizers in the Weyl algebra},
  author = {Jorge A. Guccione and Juan J. Guccione and Christian Valqui},
  journal= {arXiv preprint arXiv:0912.5202},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T14:28:53.383Z