4 papers
On the uniqueness of Yangians
Sachin Gautam, Curtis Wendlandt, Siwei Xu
Let be a simple Lie algebra over the complex numbers, and let denote its polynomial current algebra. In the mid-1980s, Drinfeld introduced the Yang…
Braid group actions, Baxter polynomials, and affine quantum groups
Noah Friesen, Alex Weekes, Curtis Wendlandt
It is a classical result in representation theory that the braid group of a simple Lie algebra acts on any integrable representation of $\…
The R-matrix of the affine Yangian
Andrea Appel, Sachin Gautam, Curtis Wendlandt
Let g be an affine Lie algebra with associated Yangian Y_hg. We prove the existence of two meromorphic R-matrices associated to any pair of representations of Y_hg in the category…
Vertex Representations for Yangians of Kac-Moody algebras
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
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 af…