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We show that the truncation of twisted Yangians are isomorphic to finite [Formula: see text] -algebras based on orthogonal or symplectic algebras. This isomorphism allows us to classify all the finite-dimensional irreducible representations of the quoted [Formula: see text] -algebras. We also give an R matrix for these [Formula: see text] -algebras, and determine their center.
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E. Ragoucy (2001) studied this question.
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