The Integrals of Motion for the Deformed W-Algebra II: Proof of the commutation relations
arXiv:0709.2305 · doi:10.1007/s00220-008-0524-3
Abstract
We explicitly construct two classes of infinitly many commutative operators in terms of the deformed W-algebra , and give proofs of the commutation relations of these operators. We call one of them local integrals of motion and the other nonlocal one, since they can be regarded as elliptic deformation of local and nonlocal integrals of motion for the algebra.
Dedicated to Professor Tetsuji Miwa on the occasion on the 60th birthday