Racah problems for the oscillator algebra, the Lie algebra ${\mathfrak{sl}}_n$, and multivariate Krawtchouk polynomials

Nicolas Crampé, Wouter van de Vijver, Luc Vinet

The oscillator Racah algebra ${\mathcal{R}}_n(\mathfrak{h})$ is realized by the intermediate Casimir operators arising in the multifold tensor product of the oscillator algebra $\mat…