Classical $6j$-symbols for finite dimensional representation of the algebra $\mathfrak{gl}_3$
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913793481637888 |
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| author | Artamonov, D. V. |
| author_facet | Artamonov, D. V. |
| contents | In the paper an explicit formula for an arbitrary $6j$-symbol for finite-dimensional irreducible representations of the algebra $\mathfrak{gl}_3$ is derived. A $6j$-symbol is written as a result of substitution of $\pm 1$ into a series of hypergeometric type, which is similar to a $Γ$-series, which is a simplest example of a multivariate series of hypergeometric type. The selection rulers for a $6j$-symbol are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09543 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classical $6j$-symbols for finite dimensional representation of the algebra $\mathfrak{gl}_3$ Artamonov, D. V. Representation Theory Mathematical Physics Complex Variables In the paper an explicit formula for an arbitrary $6j$-symbol for finite-dimensional irreducible representations of the algebra $\mathfrak{gl}_3$ is derived. A $6j$-symbol is written as a result of substitution of $\pm 1$ into a series of hypergeometric type, which is similar to a $Γ$-series, which is a simplest example of a multivariate series of hypergeometric type. The selection rulers for a $6j$-symbol are derived. |
| title | Classical $6j$-symbols for finite dimensional representation of the algebra $\mathfrak{gl}_3$ |
| topic | Representation Theory Mathematical Physics Complex Variables |
| url | https://arxiv.org/abs/2304.09543 |