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math.QA2021
Crystal invariant theory I: Geometric RSK
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
Berenstein and Kazhdan's theory of geometric crystals gives rise to two commuting families of geometric crystal operators acting on the space of complex matrices. Thes…
math.RT2021★ 3 cited
Skew Howe duality and limit shapes of Young diagrams
Anton Nazarov, Olga Postnova, Travis Scrimshaw
We consider the skew Howe duality for the action of certain dual pairs of Lie groups on the exterior algebra as a pr…
math.CO2021★ 1 cited
Quasi-solvable lattice models for and Demazure atoms and characters
Valentin Buciumas, Travis Scrimshaw
We construct colored lattice models whose partition functions represent symplectic and odd orthogonal Demazure characters and atoms. We show that our lattice models are not solvabl…