Calculation of 6j-symbols for the Lie algebra \mathfrakgl_n

2024/05/09 by Artamonov, Dmitry
Computer Science · Mathematics · #Coding theory and cryptography #Advanced Algebra and Geometry #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2405.05628

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 \mathfrakgl_n is given. Using this description an explicit formula for an arbitrary 6j-symbol for the algebra \mathfrakgl_n is derived. The 6j-symbol is expressed through a value of a generalized hypergeometric function.

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