Conformal symmetry breaking on differential forms and some applications
Representation Theory
2019-04-09 v1 Differential Geometry
Number Theory
Abstract
Rapid progress has been made recently on symmetry breaking operators for real reductive groups. Based on Program A-C for branching problems (T.Kobayashi [Progr.Math.2015]), we illustrate a scheme of the classification of (local and nonlocal) symmetry breaking operators by an example of conformal representations on differential forms on the model space , which generalizes the scalar case (Kobayashi--Speh [Memoirs of Amer.Math.Soc. 2015]) and the case of local operators (Kobayashi--Kubo--Pevzner [Lecture Notes in Math. 2016]). Some applications to automorphic form theory, motivations from conformal geometry, and the methods of proof are also discussed.
Cite
@article{arxiv.1712.09212,
title = {Conformal symmetry breaking on differential forms and some applications},
author = {Toshiyuki Kobayashi},
journal= {arXiv preprint arXiv:1712.09212},
year = {2019}
}