The Structure of The Group of Polynomial Matrices Unitary in The Indefinite Metric of Index 1

Boris D. Lubachevsky

We consider the group M of all polynomial matrices U(z) = U0 + U1*z + U2*z*z +...+Uk*z*...*z, k=0,1,... that satisfy equation U(z)*D*U(z)" = D with the diagonal n*n matrix D=diag{-…