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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2403.19106 |
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| _version_ | 1866911818281123840 |
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| author | Murakami, Reiji |
| author_facet | Murakami, Reiji |
| contents | Kobayashi-Pevzner discovered in [Selecta Math., 2016] that the failure of the multiplicity-one property in the fusion rule of Verma modules of sl2 occurs exactly when the Rankin-Cohen bracket vanishes, and 1classified all the corresponding parameters. In this paper we provide yet another characterization for these parameters, and give a precise description of indecomposable components of the tensor product. Furthermore, we discuss when the tensor products of two Verma modules are isomorphic to each other for semisimple Lie algebras g. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19106 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Branching problem of tensoring two Verma modules and its application to differential symmetry breaking operators Murakami, Reiji Representation Theory Kobayashi-Pevzner discovered in [Selecta Math., 2016] that the failure of the multiplicity-one property in the fusion rule of Verma modules of sl2 occurs exactly when the Rankin-Cohen bracket vanishes, and 1classified all the corresponding parameters. In this paper we provide yet another characterization for these parameters, and give a precise description of indecomposable components of the tensor product. Furthermore, we discuss when the tensor products of two Verma modules are isomorphic to each other for semisimple Lie algebras g. |
| title | Branching problem of tensoring two Verma modules and its application to differential symmetry breaking operators |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2403.19106 |