Artem Lopatin ; Carlos Arturo Rodriguez Palma ; Liming Tang
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Weak polynomial identities of small degree for the Weyl algebra
cm:13107 -
Communications in Mathematics,
March 27, 2024,
Volume 33 (2025), Issue 1
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https://doi.org/10.46298/cm.13107Weak polynomial identities of small degree for the Weyl algebraArticle
Authors: Artem Lopatin ; Carlos Arturo Rodriguez Palma ; Liming Tang
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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.
Comment: 16 pages. arXiv admin note: text overlap with arXiv:2309.12795
Volume: Volume 33 (2025), Issue 1
Published on: March 27, 2024
Accepted on: February 26, 2024
Submitted on: February 23, 2024
Keywords: Mathematics - Rings and Algebras