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This paper presents a set of multicomponent matrix Lie algebra,which is used to construct a new loop algebra (A)M.By using the Tu scheme,a Liouville integrable multicomponent equation hierarchy is generated,which possesses the Hamiltonian structure.As its reduction cases,the multicomponent (2+1)-dimensional Glaehette-Johnson (GJ) hierarchy is given.Finally,the super-integrable coupling system of multicomponent (2+1)-dimensional GJ hierarchy is established through enlarging the spectral problem.