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math.CO2025
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.CO2021★ 3 cited
On the action of the long cycle on the Kazhdan-Lusztig basis
Fern Gossow, Oded Yacobi
The complex irreducible representations of the symmetric group carry an important canonical basis called the Kazhdan-Lusztig basis. Although it is difficult to express how general…