On the Centralizer of an Ad-invertible Element in the First Weyl Algebra Over a Nonzero Characteristic Field
Year: 2025
Type: article
Abstract: In this paper, we extend the result of Guccione et al. [1] about the centralizer of an ad-invertible element to a field of nonzero characteristic. Indeed, we have proved that, in a nonzero characteristic field, for any element , if there exists such that , then the centralizer of is equal to the polynomial algebra , i.e., , where is the center of .
Authors: Bah S. B. Kouame, Konan M. Kouakou
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415241584
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