Quantum Deformation of the WN Algebra
H. Awata, H. Kubo, S. Odake, J. Shiraishi
Abstract
We review the WN algebra and its quantum deformation, based on free field realizations. The (quantum deformed) WN algebra is defined through the (quantum deformed) Miura transformation, and its singular vectors realize the Jack (Macdonald) polynomials. (Talk at the Nankai-CRM joint meeting on ``Extended and Quantum Algebras and their Applications to Physics'', Tianjin, China, August 19-24, 1996.)
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