The Newell-Littlewood numbers are defined in terms of their celebrated cousins, the Littlewood-Richardson coefficients. Both arise as tensor product multiplicities for a classical Lie group. They structure coefficients K. Koike-I. Terada basis ring symmetric functions. Recent work H. Hahn studies them, motivated by R. Langlands’ beyond endoscopy</italic...

Newell-Littlewood coefficients $n_{\mu,\nu}^{\lambda}$ are the multiplicities occurring in decomposition of products universal characters orthogonal and symplectic groups. They may also be expressed, or even defined directly terms Littlewood-Richardson coefficients, $c_{\mu,\nu}^{\lambda}$. Both sets have stretched forms $c_{t\mu,t\nu}^{t\lambda}$ $n_{t\mu,t\nu}^{t\lambda}$, where $t\kappa$ is ...

Models describing long wave-short wave resonant interactions have many physical applications from fluid dynamics to plasma physics. We consider here the Yajima-Oikawa-Newell (YON) model, which has been recently introduced combining interaction terms of two wave, integrable models, one proposed by Yajima-Oikawa, and other Newell. The new YON model contains arbitrary coupling constants it is stil...