Intertwinors on Functions over the Product of Spheres
We give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian product metric using the spectrum generating technique. As a consequence, this provides another proof of the even order conformally invariant differential operator fo...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2011-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.003 |
| _version_ | 1830306750359666688 |
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| author | Doojin Hong |
| author_facet | Doojin Hong |
| author_sort | Doojin Hong |
| collection | DOAJ |
| description | We give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian product metric using the spectrum generating technique. As a consequence, this provides another proof of the even order conformally invariant differential operator formulas obtained earlier by T. Branson and the present author. |
| first_indexed | 2024-12-19T10:18:22Z |
| format | Article |
| id | doaj.art-9366fc241fb544afa7022485a015b5ca |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-19T10:18:22Z |
| publishDate | 2011-01-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-9366fc241fb544afa7022485a015b5ca2022-12-21T20:26:08ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-01-017003Intertwinors on Functions over the Product of SpheresDoojin HongWe give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian product metric using the spectrum generating technique. As a consequence, this provides another proof of the even order conformally invariant differential operator formulas obtained earlier by T. Branson and the present author.http://dx.doi.org/10.3842/SIGMA.2011.003intertwinorsconformally invariant operators |
| spellingShingle | Doojin Hong Intertwinors on Functions over the Product of Spheres Symmetry, Integrability and Geometry: Methods and Applications intertwinors conformally invariant operators |
| title | Intertwinors on Functions over the Product of Spheres |
| title_full | Intertwinors on Functions over the Product of Spheres |
| title_fullStr | Intertwinors on Functions over the Product of Spheres |
| title_full_unstemmed | Intertwinors on Functions over the Product of Spheres |
| title_short | Intertwinors on Functions over the Product of Spheres |
| title_sort | intertwinors on functions over the product of spheres |
| topic | intertwinors conformally invariant operators |
| url | http://dx.doi.org/10.3842/SIGMA.2011.003 |
| work_keys_str_mv | AT doojinhong intertwinorsonfunctionsovertheproductofspheres |