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arxiv: 0912.1101 · v4 · submitted 2009-12-06 · 🧮 math.RT · math.QA

Mickelsson algebras and representations of Yangians

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keywords algebrasrepresentationsyangiansalgebracorrespondingdualexplicitgeneral
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We use the theory of reductive dual pairs due to Howe to obtain explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra, and of the twisted Yangians corresponding to the symplectic and orthogonal Lie algebras.

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