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math.RT2024
Inequalities characterizing distinguished unipotent orbits
Alexander Bertoloni Meli, Teruhisa Koshikawa, Jonathan Leake
In this paper we prove a new characterization of the distinguished unipotent orbits of a connected reductive group over an algebraically closed field of characteristic 0. For class…
math.CO2024
Compatibility of Real-Rooted Polynomials with Mixed Signs
Jonathan Leake, Nick Ryder
We characterize compatible families of real-rooted polynomials, allowing both positive and negative leading coefficients. Our characterization naturally generalizes the same-sign c…