Artem Lopatin ; Carlos Arturo Rodriguez Palma - Identities for subspaces of the Weyl algebra

cm:12323 - Communications in Mathematics, March 26, 2024, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") - https://doi.org/10.46298/cm.12323
Identities for subspaces of the Weyl algebraArticle

Authors: Artem Lopatin ; Carlos Arturo Rodriguez Palma

In this paper we describe the polynomial identities of degree 4 for a certain subspace of the Weyl algebra A_1 over an infinite field of arbitrary characteristic.

Comment: 15 pages. In version 2 proofs were expanded

https://doi.org/10.46298/cm.12323
Source: arXiv.org:2309.12795
Volume: Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024")
Published on: March 26, 2024
Accepted on: February 26, 2024
Submitted on: September 25, 2023
Keywords: Mathematics - Rings and Algebras
Licence: arXiv.org - Non-exclusive license to distribute

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