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The Intergals of Motion for the Deformed Virasoro Algebra March 18 , 2008 Dedicated to Professor Masaki Kashiwara on the occasion on the 60 th birthday

We explicitly construct two classes of infinitly many commutative operators in terms of the deformed Virasoro algebra. We call one of them local integrals and the other nonlocal one, since they can be regarded as elliptic deformations of the local and nonlocal integrals of motion obtained by V.Bazhanov, S.Lukyanov and Al.Zamolodchikov [1].