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A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions - MaRDI portal

A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions (Q1922523)

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A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
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    A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions (English)
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    31 October 1996
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    In order to study a quantum deformation of the correspondence between the Calogero-Sutherland model and the conformal field theory, the authors define a quantum deformation of the Virasoro algebra and study its structure and highest weight representations. They construct a free boson realization of it and obtain singular vectors in terms of the Macdonald symmetric functions.
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    quantum deformation
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    Calogero-Sutherland model
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    conformal field theory
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    Virasoro algebra
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    highest weight representations
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    free boson realization
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    singular vectors
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    Macdonald symmetric functions
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