Volume 33 (2025), Issue 1


1. Weak polynomial identities of small degree for the Weyl algebra

Artem Lopatin ; Carlos Arturo Rodriguez Palma ; Liming Tang.
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.