Quantum Deformation of the W_N Algebra

H. Awata; H. Kubo; J. Shiraishi; S. Odake

Quantum Deformation of the W_N Algebra

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arxiv q-alg/9612001 v1 pith:FYHSQANE submitted 1996-12-01 q-alg hep-thmath.QA

H. Awata , H. Kubo , S. Odake , J. Shiraishi This is my paper · ORCID

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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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