A proper generating functional on a Podleś sphere
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916106272243712 |
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| author | Tanaka, Masato |
| author_facet | Tanaka, Masato |
| contents | We construct a proper generating functional $L$ on a Podleś sphere and we show that $1$-cocycle arising from $L$ coincides with the one in our previous work. We also show that our 1-cocycle is purely non Gaussian and that the full `group' $C^{\ast}$-algebra of the quantum $SL(2,\mathbb{R})$ is liminal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08836 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A proper generating functional on a Podleś sphere Tanaka, Masato Quantum Algebra Representation Theory 17B37, 20G42, 46L67 We construct a proper generating functional $L$ on a Podleś sphere and we show that $1$-cocycle arising from $L$ coincides with the one in our previous work. We also show that our 1-cocycle is purely non Gaussian and that the full `group' $C^{\ast}$-algebra of the quantum $SL(2,\mathbb{R})$ is liminal. |
| title | A proper generating functional on a Podleś sphere |
| topic | Quantum Algebra Representation Theory 17B37, 20G42, 46L67 |
| url | https://arxiv.org/abs/2312.08836 |