Equivalences between three presentations of orthogonal and symplectic Yangians

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

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We prove the equivalence of two presentations of the Yangian $Y(\mathfrak{g})$ of a simple Lie algebra $\mathfrak{g}$ and we also show the equivalence with a third presentation when $\mathfrak{g}$ is either an orthogonal or a symplectic Lie algebra. As an application, we obtain an explicit correspondence between two versions of the classification theorem of finite-dimensional irreducible modules for orthogonal and symplectic Yangians.
Original languageEnglish
Pages (from-to)1-53
Number of pages53
JournalLetters in Mathematical Physics
Early online date21 Jun 2018
Publication statusE-pub ahead of print - 21 Jun 2018

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© Springer Nature B.V. 2018. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details


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