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Mickelsson algebras and representations of Yangians
Let $\operatorname {Y}(\mathfrak {gl}_n)$ be the Yangian of the general linear Lie algebra $\mathfrak {gl}_n$. We denote by $\operatorname {Y}(\mathfrak {sp}_n)$ and $\operatorname {Y}(\mathfrak {so}_n)$ the twisted Yangians corresponding to the symplectic and orthogonal subalgebras in the Lie algebra $\mathfrak {gl}_n$. These twisted Yangians are one-sided coideal subalgebras in the …