The Racah algebra and ${\mathfrak{sl}}_n$

Abstract

We conjecture the existence of an embedding of the Racah algebra into the universal enveloping algebra of ${\mathfrak{sl}}_n$. Evidence of this conjecture is offered by realizing both algebras using differential operators and giving an embedding in this realization.

Contribution to the proceedings of '11th International Symposium on Quantum Theory and Symmetries' held at Montreal, Canada, July 2019. 7 pages