Poisson algebras of spinor functions.

Kaplan, Aroldo; Saal, Linda; Tiraboschi, Alejandro

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A nilpotent Lie algebra and eigenvalue estimates

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The aim of this paper is to demonstrate how a fairly simple nilpotent Lie algebra can be used as a tool to study differential operators on $ℝ^{n}$ with polynomial coefficients, especially when the property studied depends only on the degree of the polynomials involved and/or the number of variables.