Dissimilarity maps on trees and the representation theory of GL n(ℂ)

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2 Scopus citations


We revisit representation theory in type A; used previously to establish that the dissimilarity vectors of phylogenetic trees are points on the tropical Grassmannian variety. We use a different version of this construction to show that the space of phylogenetic trees K n maps to the tropical varieties of every flag variety of GL n(ℂ): Using this map, we find a tropical function on the space of phylogenetic trees for each semistandard tableaux, and we show that the functions satisfy the tropicalized equations which cut out GL n(ℂ) flag varieties.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Issue number3
StatePublished - Sep 27 2012


  • Flag variety
  • Phylogenetics
  • Tropical geometry

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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