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Journal | Letters in Mathematical Physics |
---|---|

Date | Accepted/In press - 3 Jun 2018 |

Date | E-pub ahead of print (current) - 21 Jun 2018 |

Number of pages | 53 |

Pages (from-to) | 1-53 |

Early online date | 21/06/18 |

Original language | English |

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.

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