On the centralizers in the weyl algebra

Jorge A. Guccione; Juan J. Guccione; Christian Valqui

doi:10.1090/S0002-9939-2011-11017-7

On the centralizers in the weyl algebra

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Sección de Matemáticas

University of Buenos Aires

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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].

Original language	English
Pages (from-to)	1233-1241
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2011-11017-7
State	Published - Apr 2012

Keywords

Centralizers
Weyl algebra

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10.1090/S0002-9939-2011-11017-7

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title = "On the centralizers in the weyl algebra",

abstract = "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].",

keywords = "Centralizers, Weyl algebra",

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On the centralizers in the weyl algebra

Abstract

Keywords

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