Dominic Searles ; Alexander Yong
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Root-theoretic Young Diagrams, Schubert Calculus and Adjoint Varieties
dmtcs:2318 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2013,
DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
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https://doi.org/10.46298/dmtcs.2318
Root-theoretic Young Diagrams, Schubert Calculus and Adjoint VarietiesArticle
Authors: Dominic Searles 1; Alexander Yong 1
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Dominic Searles;Alexander Yong
1 Department of Mathematics [Urbana]
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.