Internal symmetry algebra of exactly integrable dynamical systems in the quantum domain

It is shown on the example of the generalized Toda chain in two-dimensional space that semisimple algebras of a classical problem turn in the quantum region into associative Hopf algebras described in Drinfeld's paper as quantum algebras. In terms of quantum algebras the Heisenberg operators of interacting field as functions of the in-fields are expressed by the classical theory formulas and the expressions for them obtained earlier get a simple algebraical meaning.