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arXiv · 1704.01817

Conformally Covariant Bi-Differential Operators on a Simple Real Jordan Algebra

Salem Ben Said·Jean-Louis Clerc·Khalid Koufany
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Abstract

For a simple real Jordan algebra $V,$ a family of bi-differential operators from $\mathcal{C}^\infty(V\times V)$ to $\mathcal{C}^\infty(V)$ is constructed. These operators are covariant under the rational action of the conformal group of $V.$ They generalize the classical {\em Rankin-Cohen} brackets (case $V=\mathbb{R}$).

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BibTeXRIS

Salem Ben Said, Jean-Louis Clerc, Khalid Koufany. 2017-04-06. Conformally Covariant Bi-Differential Operators on a Simple Real Jordan Algebra. https://arxiv.org/abs/1704.01817

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