Abstract
We present here a detailed but rather transparent Dirac Hamiltonian formulation of the first-order Einstein - Cartan theory of gravitation, including a rigorous derivation of the off-shell constraint algebra between lapse, shift and Lorentz Hamiltonians. Taking the simplest solution for determined multipliers, it is shown that squares of the second-class constraints appear on the right-hand side of the Poisson brackets algebra.
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