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Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras - MaRDI portal

Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras (Q1358255)

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Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
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    Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras (English)
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    3 July 1997
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    The authors present a one-parameter family of constant solutions of the reflection equation, define a family of quantum complex Grassmannians endowed with a transitive action of the quantum unitary group and then identify the zonal spherical functions as multivariable Askey-Wilson polynomials containing two continuous and two discrete parameters.
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    quantum symmetric space
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    quantum complex Grassmannians
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    Askey-Wilson polynomials
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