Abstract
Deformed Virasoro algebra has the algebraic nature associated to the Macdonald polynomials.More precisely,the singular vectors of its highest weight module can be regarded as the Macdonald polynomials. But in this presentation, I would like to emphasize on its connection to Virasoro algebra. Deformed Virasoro algebra has two parameters q and t. If we suppose q=Exp(h)and t= Exp(beta h) and expand the relations between the generators with respect to h, we can see the generators of Virasoro algebra appear as the coefficient of second term of h. And its center is parametrized by another parameter beta. Therefore, to calculate the coefficient of higher order is interesting problem. To complete this calculation, the Bosonization of Deformed Virasoro Algebra is important. Through Bosonization, we can not only see Virasoro element appear more clearly, but also infer the coefficient of higher order of h. Only from definition, we can derive the condition which the higher order element (I call it M_n) must satisfy. In this presentation, I calculate the higher order of deformed Virasoro algebra whose suffix is 0 under some prerequisite,and give the conjectured form of general suffix case.