Algebraically Independent Generators for the Algebra of Invariant Differential Operators on ${\mathrm{SL}}_n(\mathbb{R})/{\mathrm{SO}}_n(\mathbb{R})$

Abstract

We provide an explicit set of algebraically independent generators for the algebra of invariant differential operators on the Riemannian symmetric space associated with $\SL_n(\R)$.

Arguments in Section 3 shortened. Final version, accepted for publication in Journal of Lie Theory