On the centralizers in the Weyl algebra

arxiv: 0912.5202 · v1 · submitted 2009-12-28 · 🧮 math.RA

Jorge A. Guccione , Juan J. Guccione , Christian Valqui This is my paper

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keywords algebraweylcentralizercentralizerselementspolynomialprovethen

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Let P,Q be elements of the Weyl algebra W. We prove that if [Q,P]=1, then the centralizer of P is the polynomial algebra k[P].

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