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Root-theoretic Young Diagrams, Schubert Calculus and Adjoint Varieties

Abstract : Root-theoretic Young diagrams are a conceptual framework to discuss existence of a root-system uniform and manifestly non-negative combinatorial rule for Schubert calculus. Our main results use them to obtain formulas for (co)adjoint varieties of classical Lie type. This case is the simplest after the previously solved (co)minuscule family. Yet our formulas possess both uniform and non-uniform features.
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https://hal.inria.fr/hal-01229730
Contributor : Alain Monteil <>
Submitted on : Tuesday, November 17, 2015 - 10:20:42 AM
Last modification on : Thursday, August 1, 2019 - 2:12:06 PM
Long-term archiving on: : Friday, April 28, 2017 - 2:01:00 PM

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Dominic Searles, Alexander Yong. Root-theoretic Young Diagrams, Schubert Calculus and Adjoint Varieties. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.493-502. ⟨hal-01229730⟩

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