Calculation of $6j$-symbols for the Lie algebra $\mathfrak{gl}_n$
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911089245028352 |
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| author | Artamonov, Dmitry |
| author_facet | Artamonov, Dmitry |
| contents | An explicit description of the multiplicity space that describes occurrences of irreducible representations in a splitting of a tensor product of two irreducible representations of $\mathfrak{gl}_n$ is given. Using this description an explicit formula for an arbitrary $6j$-symbol for the algebra $\mathfrak{gl}_n$ is derived. The $6j$-symbol is expressed through a value of a generalized hypergeometric function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05628 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Calculation of $6j$-symbols for the Lie algebra $\mathfrak{gl}_n$ Artamonov, Dmitry Representation Theory Mathematical Physics Complex Variables An explicit description of the multiplicity space that describes occurrences of irreducible representations in a splitting of a tensor product of two irreducible representations of $\mathfrak{gl}_n$ is given. Using this description an explicit formula for an arbitrary $6j$-symbol for the algebra $\mathfrak{gl}_n$ is derived. The $6j$-symbol is expressed through a value of a generalized hypergeometric function. |
| title | Calculation of $6j$-symbols for the Lie algebra $\mathfrak{gl}_n$ |
| topic | Representation Theory Mathematical Physics Complex Variables |
| url | https://arxiv.org/abs/2405.05628 |