*************************************** SOLUTION TO GIT PROBLEM: NONSTABLE LOCI *************************************** Group: A2 RepresentationA2(2,0,0) Set of maximal non-stable states: (1) 1-PS = (1, 0, -1) yields a state with 4 characters Maximal nonstable state={(1, 1, 0), (0, 2, 0), (1, 0, 1), (2, 0, 0)} ************************************** SOLUTION TO GIT PROBLEM: UNSTABLE LOCI ************************************** Group: A2 RepresentationA2(2,0,0) Set of maximal unstable states: (1) 1-PS = (1, -1/2, -1/2) yields a state with 3 characters Maximal unstable state={(1, 1, 0), (2, 0, 0), (1, 0, 1)} (2) 1-PS = (1, 1, -2) yields a state with 3 characters Maximal unstable state={(1, 1, 0), (2, 0, 0), (0, 2, 0)} ************************************************************* SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI ************************************************************* Group: A2 RepresentationA2(2,0,0) Set of strictly polystable states: (1) A state with 2 characters Strictly polystable state={(0, 2, 0), (1, 0, 1)}