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: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733889184727040 |
|---|---|
| author | Frahm, J. Ørsted, B. |
| author_facet | Frahm, J. Ørsted, B. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T21:25:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210304 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:25:05Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors Frahm, J. Ørsted, B. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210304 |
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