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<正> Let SL(2,R)be the group of all real matrices of order2 with determinant 1.In this paper,weuse G to denote both SL(2.R) and the lie group SU(1,1)={(α/ββ/α):│α│~2-│β│~2=1,α,β=1,α,β∈C}because they are isomorphic to each other.