NEW DERIVATIVES OF POLYASPARTIC ACID. THESE DERIVATIVES MEET FORMULA IA: (CF DRAWING IN BOPI) IN WHICH: R, R AND R ARE IN PARTICULAR HYDROGEN OR AN ALCOYL, X IS A GROUP OF THE -NR (R) TYPE POSSIBLE QUATERNIZED, Y IS IN PARTICULAR OXYGEN OR A METHYLENE, M IS ESPECIALLY A HYDROGEN OR AN ALKALINE METAL, B, M, P, Q AND R ARE WHOLE NUMBERS. THESE NEW DERIVATIVES CAN BE USED IN PARTICULAR AS COSMETIC AGENTS.