Tensor product decomposition for rank-one spin groups I : unitary principal series representations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910848027459584 |
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| author | Afentoulidis-Almpanis, Spyridon Liu, Gang |
| author_facet | Afentoulidis-Almpanis, Spyridon Liu, Gang |
| contents | We provide an explicit direct integral decomposition for the tensor product representation $π_1\widehat{\otimes}π_2$ of the rank one spin group $\mathrm{Spin}(n,1)$ whenever $π_1$ is a unitary principal series representation and $π_2$ is an arbitrary irreducible unitary representation of $\mathrm{Spin}(n,1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor product decomposition for rank-one spin groups I : unitary principal series representations Afentoulidis-Almpanis, Spyridon Liu, Gang Representation Theory 22E30, 22E46 We provide an explicit direct integral decomposition for the tensor product representation $π_1\widehat{\otimes}π_2$ of the rank one spin group $\mathrm{Spin}(n,1)$ whenever $π_1$ is a unitary principal series representation and $π_2$ is an arbitrary irreducible unitary representation of $\mathrm{Spin}(n,1)$. |
| title | Tensor product decomposition for rank-one spin groups I : unitary principal series representations |
| topic | Representation Theory 22E30, 22E46 |
| url | https://arxiv.org/abs/2502.19968 |