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math.RT2024
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 $\…
math.RT2023
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…
math.RT2018
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…