Double Complexes and Cohomological Hierarchy in a Space of Weakly Invariant Lagrangians of Mechanics

O. M. Khudaverdian, D. A. Sahakyan

For a given configuration space $M$ and Lie algebra $g$ whose action is defined on $M$, the space $V_{0.0}$ of weakly $g$-invariant Lagrangians (i.e. Lagrangians whose motion equat…