Twisted Yangians and folded \(W\)-algebras (Q2747045)

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scientific article; zbMATH DE number 1657074
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Twisted Yangians and folded \(W\)-algebras
scientific article; zbMATH DE number 1657074

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    2001
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    twisted Yangian
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    \(W\)-algebra
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    orthogonal algebra
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    symplectic algebra
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    irreducible representation
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    \(R\)-matrix
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    Twisted Yangians and folded \(W\)-algebras (English)
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    The author proves that the truncation of twisted Yangians are isomorphic to finite \(W\)-algebras based on orthogonal or symplectic algebras, and uses this isomorphism to classify all finite-dimensional representation of such \(W\)-algebras, to construct an \(R\)-matrix for these algebras, and to determine the centers of these algebras.
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