Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum

The Heisenberg Lie Group is the most frequently used model for studying representation theory of groups. This group modular-noncompact and its algebra nilpotent. elements can be expressed in form matrices size 3×3. Another specialty also inherited by three-dimensional called algebra. whose Algebra extended to dimension 2n+1 generalized it denoted H h_n. In this study, surjectiveness exponential mapping was studied with respect h_n=⟨x ̅,y ̅,z ̅⟩ bracket given [X_i,Y_i ]=Z. purpose research prove characterization subgroup results were obtained that if ⟨x ̅ ⟩=:V⊆h_n a subspace set {e^(x_i ) e^(x_j ┤| x_i,x_j∈V }=:L⊆H then L=H consequently Lie(L)≠V.