Algebraic properties of the Einstein-Cartan action (Q378702)

In this paper algebraic properties of matrix operators which act on the torsion in the Einstein-Cartan action are studies. Multiplication rules are written and the corresponding equations of motion are explored in different variables. This work is organized as follows. In item 1, the author considers the Einstein-Cartan action in terms of the Riemannian connection and contortion. In item 2 the equation of motion is written and, for its simplification, algebraic properties operators are considered in item 3.