Equivalences between three presentations of orthogonal and symplectic Yangians
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Author
Guay, Nicolas
Regelskis, Vidas
Wendlandt, Curtis
Attention
2299/21191
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.