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arXiv · 2405.05628

Calculation of $6j$-symbols for the Lie algebra $\mathfrak{gl}_n$

Dmitry Artamonov
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Abstract

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.

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BibTeXRIS

Dmitry Artamonov. 2024-05-09. Calculation of $6j$-symbols for the Lie algebra $\mathfrak{gl}_n$. https://doi.org/10.1134/s0037446625040019

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