*************************************** SOLUTION TO GIT PROBLEM: NONSTABLE LOCI *************************************** Group: A2 RepresentationA2(3,0,0) Set of maximal non-stable states: (1) 1-PS = (1, 1, -2) yields a state with 7 characters Maximal nonstable state={(1, 2, 0), (2, 1, 0), (1, 1, 1), (0, 2, 1), (0, 3, 0), (2, 0, 1), (3, 0, 0)} (2) 1-PS = (1, -1/2, -1/2) yields a state with 6 characters Maximal nonstable state={(1, 2, 0), (1, 0, 2), (2, 1, 0), (1, 1, 1), (2, 0, 1), (3, 0, 0)} ************************************** SOLUTION TO GIT PROBLEM: UNSTABLE LOCI ************************************** Group: A2 RepresentationA2(3,0,0) Set of maximal unstable states: (1) 1-PS = (1, 1/4, -5/4) yields a state with 5 characters Maximal unstable state={(1, 2, 0), (2, 1, 0), (0, 3, 0), (2, 0, 1), (3, 0, 0)} ************************************************************* SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI ************************************************************* Group: A2 RepresentationA2(3,0,0) Set of strictly polystable states: (1) A state with 1 characters Strictly polystable state={(1, 1, 1)} (2) A state with 3 characters Strictly polystable state={(0, 2, 1), (2, 0, 1), (1, 1, 1)}