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QUADRATIC OPERATORS DONOT GENERATE MAXIMAL LEFT IDEALS OF THE WEYL ALGEBRA

Published online by Cambridge University Press:  01 May 2000

S. C. COUTINHO
S. C. COUTINHO
Affiliation:
Departamento de Ciências da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, RJ, Brazil. E-mail: collier@impa.br
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Abstract

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We prove that if n \geq 2 then A_nd cannot be a maximal left ideal of then -th Weyl algebra A_n over ℂ for almost every operator d of degree 2 of A_n.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 2 , May 2000 , pp. 297 - 298
Copyright
2000 Glasgow Mathematical Journal Trust