On the centralizers in the weyl algebra

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]. © 2011 American Mathematical Society.

Guardado en:
Detalles Bibliográficos
Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
Aporte de:
id todo:paper_00029939_v140_n4_p1233_Guccione
record_format dspace
spelling todo:paper_00029939_v140_n4_p1233_Guccione2023-10-03T13:55:13Z On the centralizers in the weyl algebra Guccione, J.A. Guccione, J.J. Valqui, C. Centralizers Weyl algebra 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]. © 2011 American Mathematical Society. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Centralizers
Weyl algebra
spellingShingle Centralizers
Weyl algebra
Guccione, J.A.
Guccione, J.J.
Valqui, C.
On the centralizers in the weyl algebra
topic_facet Centralizers
Weyl algebra
description 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]. © 2011 American Mathematical Society.
format JOUR
author Guccione, J.A.
Guccione, J.J.
Valqui, C.
author_facet Guccione, J.A.
Guccione, J.J.
Valqui, C.
author_sort Guccione, J.A.
title On the centralizers in the weyl algebra
title_short On the centralizers in the weyl algebra
title_full On the centralizers in the weyl algebra
title_fullStr On the centralizers in the weyl algebra
title_full_unstemmed On the centralizers in the weyl algebra
title_sort on the centralizers in the weyl algebra
url http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
work_keys_str_mv AT guccioneja onthecentralizersintheweylalgebra
AT guccionejj onthecentralizersintheweylalgebra
AT valquic onthecentralizersintheweylalgebra
_version_ 1807316054234365952