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math.CO2024
The commutant of divided difference operators, Klyachko's genus, and the comaj statistic
Christian Gaetz, Rebecca Goldin, Allen Knutson
In [Hamaker-Pechenik-Speyer-Weigandt, Nenashev, Pechenik-Weigandt] are studied certain operators on polynomials and power series that commute with all divided difference operators…
math.AG2024
Minimal semisimple Hessenberg schemes
Rebecca Goldin, Martha Precup
We study a collection of Hessenberg varieties in the type A flag variety associated to a nonzero semisimple matrix whose conjugacy class has minimal dimension. We prove each such m…