3 papers
math.CO2024
The branching models of Kwon and Sundaram via flagged hives
V. Sathish Kumar, Jacinta Torres
We prove a bijection between the branching models of Kwon and Sundaram, conjectured previously by Lenart-Lecouvey. To do so, we use a symmetry of Littlewood-Richardson coefficients…
math.CO2023
Flagged Skew Schur Polynomials Twisted By Roots Of Unity
V. Sathish Kumar
We generalize a theorem of Littlewood concerning the factorization of Schur polynomials when their variables are twisted by roots of unity. We show that a certain family of flagged…
math.RT2023
Saturation for Flagged Skew Littlewood-Richardson Coefficients
Siddheswar Kundu, K. N. Raghavan, V. Sathish Kumar +1
We define and study a generalization of the Littlewood-Richardson (LR) coefficients, which we call the flagged skew LR coefficients. These subsume several previously studied extens…