English

Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. -- The Translation Principle and Intertwining Operators for Spinors

Representation Theory 2019-11-12 v2

Abstract

For a symmetric pair (G,H)(G,H) of reductive groups we extend to a large class of generalized principal series representations our previous construction of meromorphic families of symmetry breaking operators. These operators intertwine between a possibly vector-valued principal series of GG and one for HH and are given explicitly in terms of their integral kernels. As an application we give a complete classification of symmetry breaking operators from spinors on a Euclidean space to spinors on a hyperplane, intertwining for a double cover of the conformal group of the hyperplane.

Keywords

Cite

@article{arxiv.1702.02326,
  title  = {Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. -- The Translation Principle and Intertwining Operators for Spinors},
  author = {Jan Frahm and Bent Ørsted},
  journal= {arXiv preprint arXiv:1702.02326},
  year   = {2019}
}