What is it about?
After a short presentation of various pictographs (O-blades, metric honeycombs) that one can use in order to calculate SU(n) multiplicities (Littlewood-Richardson coefficients, Kostka numbers), we briefly discuss the semi-classical limit of these multiplicities in relation with the Horn and Schur volume functions and with the so-called Rn-polynomials that enter the expression of volume functions. For n < 7 the decomposition of the Rn-polynomials on Lie group characters is already known, the case n=7 is obtained here.
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This page is a summary of: Multiplicities, Pictographs, and Volumes, Physics of Particles and Nuclei Letters, September 2020, Pleiades Publishing Ltd,
DOI: 10.1134/s1547477120050118.
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