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

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...

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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2019
Автори: Frahm, J., Ørsted, B.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2019
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/210304
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors / J. Frahm, B. Ørsted // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-210304
record_format dspace
spelling Frahm, J.
Ørsted, B.
2025-12-05T09:29:13Z
2019
Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors / J. Frahm, B. Ørsted // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 22E45; 47G10
arXiv: 1702.02326
https://nasplib.isofts.kiev.ua/handle/123456789/210304
https://doi.org/10.3842/SIGMA.2019.084
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.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
spellingShingle Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
Frahm, J.
Ørsted, B.
title_short Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
title_full Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
title_fullStr Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
title_full_unstemmed Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
title_sort knapp-stein type intertwining operators for symmetric pairs ii. - the translation principle and intertwining operators for spinors
author Frahm, J.
Ørsted, B.
author_facet Frahm, J.
Ørsted, B.
publishDate 2019
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description 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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/210304
citation_txt Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors / J. Frahm, B. Ørsted // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ.
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AT ørstedb knappsteintypeintertwiningoperatorsforsymmetricpairsiithetranslationprincipleandintertwiningoperatorsforspinors
first_indexed 2025-12-07T21:25:05Z
last_indexed 2025-12-07T21:25:05Z
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