2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100110It is shown that the Gel'fand-Tsetlin realization of irreducible representations of the $A_n$ algebra is directly connected with a linear exactly integrable system in the n-dimensional space. General solution for this system is explicitly given.13 pages, LaTeXExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryMathematical PhysicsTo the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebrastext