An. Leznov, To the Gel'fand-Tsetlin realization of irreducible representations of classical semisimple algebras, J MATH PHYS, 42(3), 2001, pp. 1384-1396
It is shown that the Gel'fand-Tsetlin realization of irreducible representa
tions of the A(n) algebra is directly connected with a linear exactly integ
rable system in the n-dimensional space. General solutions for this system
is explicitly given. (C) 2001 American Institute of Physics.