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• W3100910591 abstract "We study quantized enveloping algebras called twisted Yangians. They are analogues of the Yangian Y(gl(N)) for the classical Lie algebras of B, C, and D series. The twisted Yangians are subalgebras in Y(gl(N)) and coideals with respect to the coproduct in Y(gl(N)). We give a complete description of their finite-dimensional irreducible representations. Every such representation is highest weight and we give necessary and sufficient conditions for an irreducible highest weight representation to be finite-dimensional. The result is analogous to Drinfeld's theorem for the ordinary Yangians. Its detailed proof for the A series is also reproduced. For the simplest twisted Yangians we construct an explicit realization for each finite-dimensional irreducible representation in tensor products of representations of the corresponding Lie algebras." @default.
• W3100910591 created "2020-11-23" @default.
• W3100910591 creator A5084275658 @default.
• W3100910591 date "1998-10-01" @default.
• W3100910591 modified "2023-09-27" @default.
• W3100910591 title "Finite-dimensional irreducible representations of twisted Yangians" @default.
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• W3100910591 doi "https://doi.org/10.1063/1.532551" @default.
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