The Integrals of Motion for the Deformed W-Algebra $${W_{q,t}(\widehat{gl_N})}$$. II. Proof of the Commutation Relations |
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| Authors: | Takeo Kojima Jun’ichi Shiraishi |
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| Institution: | (1) Department of Mathematics, College of Science and Technology, Nihon University, Surugadai, Chiyoda-ku, Tokyo 101-0062, Japan;(2) Graduate School of Mathematical Science, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8914, Japan |
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| Abstract: | We explicitly construct two classes of infinitely 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, since they can be regarded as elliptic deformations of local and nonlocal integrals of motion for the Virasoro algebra
and the W
3 algebra 1,2].
Dedicated to Professor Tetsuji Miwa on the occasion of the 60th birthday |
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