English

Weak polynomial identities of small degree for the Weyl algebra

Rings and Algebras 2024-04-03 v3

Abstract

In this paper we investigate weak polynomial identities for the Weyl algebra A1\mathsf{A}_1 over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and 5. We also describe weak polynomial identities is two variables.

Keywords

Cite

@article{arxiv.2402.14799,
  title  = {Weak polynomial identities of small degree for the Weyl algebra},
  author = {Artem Lopatin and Carlos Arturo Rodriguez Palma and Liming Tang},
  journal= {arXiv preprint arXiv:2402.14799},
  year   = {2024}
}

Comments

16 pages. arXiv admin note: text overlap with arXiv:2309.12795