On Polynomial Relations in the Heisenberg Algebra

Abstract

Polynomial relations between the generators of the classical and quantum Heisenberg algebras are presented. Some of those relations can have a meaning of the formulas of the normal ordering for the creation/annihilation operators occurred in the method of the second quantization.

10 pages, Preprint CRN 94/08 and IFUNAM FT 94-41 (corrected), LaTeX The title is changed, the paper is expanded, extra references are added, typos are corrected

References in corpus (2)

• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Operator Identities, Representations of Algebras and the Problem of Normal Ordering

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