2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184548In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quotient Dirac bracket algebra. We show that these two algebras are isomorphic. A new realization of the observable algebras through the original Poisson bracket is found. Generators, brackets and pointwise products of the algebras under consideration are calculated.7 pages, misprints correctedHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyMathematical Physicstext