3 papers
math.CO2025
Constructed tableaux and a new shifted Littlewood-Richardson rule
Santiago Estupiñán-Salamanca, Oliver Pechenik
We give a new Littlewood-Richardson rule for the Schubert structure coefficients of isotropic Grassmannians, equivalently for the multiplication of -Schur functions. Serrano (20…
math.CO2025
An exceptional equinumerosity of lattice paths and Young tableaux
Liam Ayres, Evan Bialo, Aidan Cook +6
We consider families of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous w…
math.CO2024
A universal characterization of the shifted plactic monoid
Santiago Estupiñán-Salamanca, Oliver Pechenik
The plactic monoid of Lascoux and Schützenberger (1981) plays an important role in proofs of the Littlewood-Richardson rule for computing multiplicities in the linear…