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Associated with a Clifford system on R2l,a Spin(m+1)action is induced on R2l.An isoparametric hypersurface N in S2l-1 of OT-FKM(Ozeki,Takeuchi,Ferus,Karcher and Münzner)type is invariant under this action,and so is the Cartan-Münzner polynomial F(x).This action is extended to a Hamiltonian action on C2l.We give a new description of F(x)by the moment map μ:C21 →(t)*,where(t)≌ o(m+1)is the Lie algebra of Spin(m+1).It also induces a Hamiltonian action on CP2l-1.We consider the Gauss map G of N into the complex hyperquadric Q2l-2(C)? CP2l-1,and show that G(N)lies in the zero level set of the moment map restricted to Q2l-2(C).