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arXiv · 2307.12141

The source operator method: an overview

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

This is an overview on the {source operator method} which leads to the construction of symmetry breaking differential operators (SBDO) in the context of tensor product of two principals series representations for the conformal group of a simple real Jordan algebra. This method can be applied to other geometric contexts: in the construction of SBDO for differential forms and for spinors, and also for the construction of Juhl's operators corresponding to the restriction from the sphere $S^n$ to $S^{n-1}$.

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Salem Ben Saïd, Jean-Louis Clerc, Khalid Koufany. 2023-07-22. The source operator method: an overview. https://arxiv.org/abs/2307.12141

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