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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2307.16587 |
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| _version_ | 1866909647756066816 |
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| author | Kobayashi, Toshiyuki |
| author_facet | Kobayashi, Toshiyuki |
| contents | Based on the "generating operator" of the Rankin--Cohen brackets introduced in Kobayashi-Pevzner [arXiv:2306.16800], we present a method to construct various fundamental operators with continuous parameters such as invariant trilinear forms on infinite-dimensional representations, the Fourier and the Poisson transforms on the anti-de Sitter space, and integral symmetry breaking operators for the fusion rules, among others, out of a countable set of differential symmetry breaking operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16587 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generating operators of symmetry breaking -- from discrete to continuous Kobayashi, Toshiyuki Representation Theory Primary 22E45, Secondary 30H10, 32A45, 43A85, 47B38 Based on the "generating operator" of the Rankin--Cohen brackets introduced in Kobayashi-Pevzner [arXiv:2306.16800], we present a method to construct various fundamental operators with continuous parameters such as invariant trilinear forms on infinite-dimensional representations, the Fourier and the Poisson transforms on the anti-de Sitter space, and integral symmetry breaking operators for the fusion rules, among others, out of a countable set of differential symmetry breaking operators. |
| title | Generating operators of symmetry breaking -- from discrete to continuous |
| topic | Representation Theory Primary 22E45, Secondary 30H10, 32A45, 43A85, 47B38 |
| url | https://arxiv.org/abs/2307.16587 |