Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 17 (2021), 052, 13 pages      arXiv:2101.01138      https://doi.org/10.3842/SIGMA.2021.052

Centralizers of Rank One in the First Weyl Algebra

Leonid Makar-Limanov ab
a) Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
b) Department of Mathematics & Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel

Received January 07, 2021, in final form May 12, 2021; Published online May 19, 2021

Abstract
Centralizers of rank one in the first Weyl algebra have genus zero.

Key words: Weyl algebra; centralizers.

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