3 papers
math.QA2025
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…
math.QA2025
An abelian formula for the quantum Weyl group action of the coroot lattice
S. Gautam, V. Toledano-Laredo
Let g be a complex simple Lie algebra and Uq(Lg) its quantum loop algebra, where q is not a root of unity. We give an explicit formula for the quantum Weyl group action of the coro…
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…