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Quadratic relations of the intertwiners are given explicitly in two cases ofchiral conformal field theory, and monomial bases of the representation spacesare constructed by using the Fourier components of the intertwiners. The twocases are the (p,p')-minimal series for the Virasoro algebra where 1<p'/p<2,and the level k integrable highest weight modules for the affine Lie algebra\hat{sl}_2.Comment: Latex, 29 page

A Monomial Basis for the Virasoro Minimal Series M(p,p′) : The Case 1<p′/p<2