Browsing Research publications by Author "Guay, Nicolas"

Now showing items 1-2 of 2

    • Equivalences between three presentations of orthogonal and symplectic Yangians 

      Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis (2019-02-01)
      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 ...

    • Vertex Representations for Yangians of Kac-Moody algebras 

      Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis (2019-09-26)
      Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the PBW property for simply laced affine Yangians.