3 papers
math.RT2025
Shuffle Products, Degenerate Affine Hecke Algebras, and Quantum Toda Lattice
Artem Kalmykov
We revisit an identification of the quantum Toda lattice for and the truncated shifted Yangian of , as well as related constructions, from a purely…
math.RT2023
Intertwining operators between subregular Whittaker modules for and non-standard quantizations
Artem Kalmykov, Brian Li
In this paper, we study intertwining operators between subregular Whittaker modules of $\gl_N$ generalizing, on the one hand, the classical exchange construction of dynamical quant…
math.RT2023
Yangians, Mirabolic Subalgebras, and Whittaker Vectors
Artem Kalmykov
We construct an element in a completion of the universal enveloping algebra of , which we call the Kirillov projector, that connects the topics of the title: on th…