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Weak polynomial identities of small degree for the Weyl algebra

Published 22 Feb 2024 in math.RA | (2402.14799v3)

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.

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