The usage of the representative of the nilpotent orbit in the Lie algebra sp2n to obtain some adjectives of the weighted Dynkin diagram

In this scientific paper, we describe an algorithm to test if the weighted Dynkin diagram of type -Cn corresponds to one of the nilpotent orbits of sp2n, then we defined the necessary and sufficient condition on this representative that makes the diagram even. We applied this algorithm on one of the weighted Dynkin diagrams of type –C3 to prove that it is true