Abstract
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.
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