Knapp-Stein type intertwining operators for symmetric pairs II. - The translation principle and intertwining operators for spinors

TY - JOUR

T1 - Knapp-Stein type intertwining operators for symmetric pairs II. - The translation principle and intertwining operators for spinors

AU - Möllers, Jan

AU - Ørsted, Bent

PY - 2019/11

Y1 - 2019/11

N2 - For a symmetric pair (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 G and one for H 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.

AB - For a symmetric pair (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 G and one for H 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.

KW - 22E45 (Primary), 47G10 (Secondary)

KW - math.RT

UR - http://www.scopus.com/inward/record.url?scp=85075355384&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2019.084

DO - 10.3842/SIGMA.2019.084

M3 - Journal article

SN - 1815-0659

VL - 15

JO - Symmetry, Integrability and Geometry: Methods and Applications

JF - Symmetry, Integrability and Geometry: Methods and Applications

M1 - 084

ER -