Quantum Deformation of the W_N Algebra
classification
q-alg
hep-thmath.QA
keywords
quantumalgebradeformationdeformedalgebrasapplicationsaugustchina
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We review the W_N algebra and its quantum deformation, based on free field realizations. The (quantum deformed) W_N 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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