English

The source operator method: an overview

Representation Theory 2023-07-26 v2

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 SnS^n to Sn1S^{n-1}.

Keywords

Cite

@article{arxiv.2307.12141,
  title  = {The source operator method: an overview},
  author = {Salem Ben Saïd and Jean-Louis Clerc and Khalid Koufany},
  journal= {arXiv preprint arXiv:2307.12141},
  year   = {2023}
}
R2 v1 2026-06-28T11:37:45.260Z