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.

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Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
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Sumario: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.