Multiplicities, pictographs, and volumes
| Autor: | Coquereaux, Robert |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Part. Nuclei Lett. 17, 763-773 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1134/S1547477120050118 |
| Popis: | The present contribution is the written counterpart of a talk given in Yerevan at the SQS'2019 International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2019, 26 August - August 31, 2019). 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. Comment: 13 pages, 5 figures, to appear in the proceedings of the SQS'2019 International Workshop "Supersymmetries and Quantum Symmetries" held in Yerevan (26 August - August 31, 2019) |
| Databáze: | arXiv |
| Externí odkaz: |
|