多样性、象形文字和体积
Multiplicities, pictographs, and volumes
摘要：
目前的贡献是在埃里温举行的SQS'2019国际研讨会“超对称性和量子对称性”（SQS'2019，2019年8月26日至8月31日）上发表的演讲的书面副本。在简短介绍了各种象形文字（O-刀片，度量蜂窝），可以用来计算SU（n）的多重性（Littlewood-Richardson系数，Kostka数），我们简要讨论了半经典的限制，这些多重性与霍恩和舒尔体积函数和所谓的Rn多项式，进入体积函数的表达式。当n < 7时，Rn多项式在李群特征标上的分解是已知的，这里得到了n=7的情况。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
