Dominic Searles ; Alexander Yong - 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) - https://doi.org/10.46298/dmtcs.2318
Root-theoretic Young Diagrams, Schubert Calculus and Adjoint VarietiesArticle

Authors: Dominic Searles 1; Alexander Yong 1

  • 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.


Volume: DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Section: Proceedings
Published on: January 1, 2013
Imported on: November 21, 2016
Keywords: Adjoint varieties,Schubert calculus,Root-theoretic Young diagrams,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Combinatorial and algebraic methods in Schubert geometry; Funder: National Science Foundation; Code: 0901331
  • Combinatorial Models in Schubert Geometry; Funder: National Science Foundation; Code: 1201595

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