The Lie 3-algebra in noncommutative quantum mechanics on the fuzzy sphere is studied. The coordinate and momentum operators derived from Moyal-Weyl product between two functions, for both position-position and momentum-momentum noncommutativity, form a realization of the Lie 3-algebra. By introducing a shift for magnetic vector potential, the Aharonov-Bohm effect on noncommutative space is discussed. 研究在模糊球上不可交換性量子力學中的三重李代數。由Moyal-Weyl 乘積所得出的座標和動量算符，形成一三重李代數的表現。引入一磁向量位移用來討論Aharonov-Bohm效應。
