Higher symmetries of powers of the Laplacian and rings of differential operators

We study the interplay between the minimal representations of the orthogonal Lie algebra \(\mathfrak{g}=\mathfrak{so}(n+2,\mathbb{C})\) and the \emph{algebra of symmetries} \(\mathscr{S}(\Box^r)\) of powers of the Laplacian \(\Box\) on \(\mathbb{C}^{n}\). The connection is made through the construct...

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Veröffentlicht in:	arXiv.org 2017-02
Hauptverfasser:	Levasseur, T, Stafford, J T
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Differential equations Euclidean geometry Euclidean space Lie groups Mathematics - Differential Geometry Mathematics - Representation Theory Operators (mathematics) Quantum theory Representations Set theory Weight
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