Weak polynomial identities of small degree for the Weyl algebra

Abstract

In this paper we investigate weak polynomial identities for the Weyl algebra ${\mathsf{A}}_1$ 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.

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

References in corpus (2)

• Weak polynomial identities for a vector space with a symmetric bilinear form
• Identities for a parametric Weyl algebra over a ring