3 papers
math.CO2026
Bounded core partitions and Borel-Weil-Bott
Fern Gossow, Andrew Huchala
The Borel-Weil-Bott theorem can be used to decompose the cohomology of twisted sheaves of holomorphic forms on the complex Grassmannian into irreducible representations of the gene…
math.CO2025
Ordered trees and the Geode
Fern Gossow
In recent work of Wildberger and Rubine, it is shown that the formal power series in the variables satisfying $\mathbf{S}=1+\sum_{n\geq 1} t_n\mathbf{S…
math.RT2025
On the action of the Weyl group on canonical bases
Fern Gossow, Oded Yacobi
We study representations of simply-laced Weyl groups which are equipped with canonical bases. Our main result is that for a large class of representations, the separable elements o…