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math.CO2022
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…
math.QA2022
Crystal invariant theory II: Pseudo-energies
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
The geometric crystal operators and geometric -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in variables. We study t…