The Integrals of Motion for the Deformed W-Algebra $W_{qt}(s{l}_N^{)}$ II: Proof of the commutation relations

T. Kojima, J. Shiraishi

We explicitly construct two classes of infinitly many commutative operators in terms of the deformed W-algebra $W_{qt}(s{l}_N^{)}$, and give proofs of the commutation relations of thes…