3 papers
math.RT2026
Category for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
Joel Kamnitzer, Antoine Labelle, Alexis Leroux-Lapierre +2
In this paper, we study the category of representations of shifted Yangians associated to a simply-laced simple Lie algebra over . In parti…
math.RT2025
On a specialization of Toda eigenfunctions
Antoine Labelle
This paper studies rational functions , which depend on a positive element of the root lattice of a root system. These functions arise as Shapovalov pairin…
math.RT2024
Equivariant Schubert calculus and geometric Satake
Antoine Labelle
The main classical result of Schubert calculus is that multiplication rules for the basis of Schubert cycles inside the cohomology ring of the Grassmannian are the same as…