7 papers
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…
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 pairings…
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…
Chess tableaux, powers of two and affine Lie algebras
Antoine Labelle, Stoyan Dimitrov
Chess tableaux are a special kind of standard Young tableaux where, in the chessboard coloring of the Young diagram, even numbers always appear in white cells and odd numbers in bl…
Digraphs with exactly one Eulerian tour
Luz Grisales, Antoine Labelle, Rodrigo Posada +1
We give two combinatorial proofs of the fact that the number of loopless digraphs on the vertex set with no isolated vertices and with exactly one Eulerian tour up to a cycli…
Extremal results for graphs of bounded metric dimension
Jesse Geneson, Suchir Kaustav, Antoine Labelle
Metric dimension is a graph parameter motivated by problems in robot navigation, drug design, and image processing. In this paper, we answer several open extremal problems on metri…
Ulam Sets in New Settings
Tej Bade, Kelly Cui, Antoine Labelle +1
The classical Ulam sequence is defined recursively as follows: , , and , for , is the smallest integer not already in the sequence that can be written uni…