Weak polynomial identities of small degree for the Weyl algebra

Fuente: arXiv
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Auteurs principaux: Lopatin, Artem, Palma, Carlos Arturo Rodriguez, Tang, Liming
Format: Preprint
Publié: 2024
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author Lopatin, Artem
Palma, Carlos Arturo Rodriguez
Tang, Liming
author_facet Lopatin, Artem
Palma, Carlos Arturo Rodriguez
Tang, Liming
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14799
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Weak polynomial identities of small degree for the Weyl algebra
Lopatin, Artem
Palma, Carlos Arturo Rodriguez
Tang, Liming
Rings and Algebras
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.
title Weak polynomial identities of small degree for the Weyl algebra
topic Rings and Algebras
url https://arxiv.org/abs/2402.14799