Research output: Contribution to journal › Article

295 KB, PDF-document

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.

© 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

- math.RT, math.QA

Find related publications, people, projects, datasets and more using interactive charts.