68 citations · 189 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Poles of finite-dimensional representations of Yangians
Sachin Gautam, Curtis Wendlandt
Let be a finite-dimensional simple Lie algebra over , and let be the Yangian of . In this paper, we study the set…
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…
Representations of twisted Yangians of types B, C, D: II
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We continue the study of finite-dimensional irreducible representations of twisted Yangians associated to symmetric pairs of types B, C and D, with focus on those of types BI, CII…
Equivalences between three presentations of orthogonal and symplectic Yangians
Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
We prove the equivalence of two presentations of the Yangian of a simple Lie algebra and we also show the equivalence with a third presentation whe…