*************************************** SOLUTION TO GIT PROBLEM: NONSTABLE LOCI *************************************** Group: A2 RepresentationA2(3,3,0) + A2(4,1,1) Set of maximal non-stable states: (1) 1-PS = (1, -1/2, -1/2) yields a state with 8 characters Maximal nonstable state={(2, 3, 1), (3, 0, 3), (2, 1, 3), (3, 2, 1), (2, 2, 2), (3, 1, 2), (4, 1, 1), (3, 3, 0)} (2) 1-PS = (1, 0, -1) yields a state with 8 characters Maximal nonstable state={(2, 3, 1), (3, 0, 3), (3, 2, 1), (2, 2, 2), (1, 4, 1), (3, 1, 2), (4, 1, 1), (3, 3, 0)} (3) 1-PS = (1, 1, -2) yields a state with 8 characters Maximal nonstable state={(2, 3, 1), (3, 2, 1), (2, 2, 2), (1, 3, 2), (1, 4, 1), (3, 1, 2), (4, 1, 1), (3, 3, 0)} ************************************** SOLUTION TO GIT PROBLEM: UNSTABLE LOCI ************************************** Group: A2 RepresentationA2(3,3,0) + A2(4,1,1) Set of maximal unstable states: (1) 1-PS = (1, 1/4, -5/4) yields a state with 6 characters Maximal unstable state={(2, 3, 1), (3, 3, 0), (3, 2, 1), (1, 4, 1), (3, 1, 2), (4, 1, 1)} (2) 1-PS = (1, -1/5, -4/5) yields a state with 6 characters Maximal unstable state={(2, 3, 1), (3, 0, 3), (3, 2, 1), (3, 3, 0), (3, 1, 2), (4, 1, 1)} ************************************************************* SOLUTION TO GIT PROBLEM: STRICTLY POLYSTABLE LOCI ************************************************************* Group: A2 RepresentationA2(3,3,0) + A2(4,1,1) Set of strictly polystable states: (1) A state with 3 characters Strictly polystable state={(2, 2, 2), (1, 4, 1), (3, 0, 3)} (2) A state with 3 characters Strictly polystable state={(1, 3, 2), (3, 1, 2), (2, 2, 2)} (3) A state with 1 characters Strictly polystable state={(2, 2, 2)}