Abstract
We prove the equivalence of two presentations of the Yangian Y(g) of a simple Lie algebra g, and we also show the equivalence with a third presentation when 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 language | English |
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Pages (from-to) | 327-379 |
Number of pages | 53 |
Journal | Letters in Mathematical Physics |
Volume | 109 |
Issue number | 2 |
Early online date | 21 Jun 2018 |
DOIs | |
Publication status | Published - 1 Feb 2019 |
Keywords
- Lie algebras
- Presentations
- R-matrix
- Representations
- Yangians