Global invariants of T-figures in 2-dimensional Minkowski space

In this talk, “the concept of $T$-figure” is defined in two dimensional Minkowski space. By this concept, the complete systems of invariants of m-point, paths and vector fields are investigated as a single theory. Using this approach, we obtain the complete systems of invariants of $T$-figure and the equivalence conditions of two $T$-figures are given in terms of their global invariants. Evident forms of elements of pseudo-orthogonal groups $O^+(1; 1)$ and $O(1; 1)$ are given in this talk. In this talk, a complete systems of $G$-invariants of a $T$-figure in $M$ is given for the groups $G=O^+(1;1)$ and $O(1; 1)$.