Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912977908662272 |
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| author | Nakahama, Ryosuke |
| author_facet | Nakahama, Ryosuke |
| contents | We consider a tensor product of two spaces of holomorphic functions on a Hermitian symmetric space of tube type. Then generically this is decomposed into a direct sum of irreducible subrepresentations. In this manuscript, we construct the intertwining operator (holographic operator) from each irreducible summand to the tensor product as an integral operator. This gives a generalization of the result by Kobayashi--Pevzner (2016). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21472 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type Nakahama, Ryosuke Representation Theory 22E46, 43A85, 17C30 We consider a tensor product of two spaces of holomorphic functions on a Hermitian symmetric space of tube type. Then generically this is decomposed into a direct sum of irreducible subrepresentations. In this manuscript, we construct the intertwining operator (holographic operator) from each irreducible summand to the tensor product as an integral operator. This gives a generalization of the result by Kobayashi--Pevzner (2016). |
| title | Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type |
| topic | Representation Theory 22E46, 43A85, 17C30 |
| url | https://arxiv.org/abs/2603.21472 |