Embedding of the Racah Algebra R($\mathbf{n}$) and Superintegrability

Danilo Latini, Ian Marquette, Yao-Zhong Zhang

The rank-$1$ Racah algebra $R(3)$ plays a pivotal role in the theory of superintegrable systems. It appears as the symmetry algebra of the $3$-parameter system on the $2$-sphere fr…