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math.RT2025
Shifted twisted Yangians of quasi-split ADE types
Kang Lu, Weiqiang Wang, Alex Weekes
Associated to all quasi-split Satake diagrams of type ADE and even spherical coweights , we introduce the shifted iYangians and establish their PBW bases. We con…
math.RT2025
Shifted twisted Yangians and affine Grassmannian islices
Kang Lu, Weiqiang Wang, Alex Weekes
In a prequel we introduced the shifted iYangians associated to quasi-split Satake diagrams of type ADE and even spherical coweights , and constructed the iGKLO r…
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 $\…